What is the equation of the line that passes through (4, 3) and (-4, -1)?

y = 2 x + 7
y = + 1
2 x + 1
y = + 7

Answers

Answer 1

Answer:

Step-by-step explanation:

First find the slope of the line

(4 , 3) ; x₁ = 4 ; y₁ = 3

(-4,-1) ; x₂ = -4 ; y₂ = -1

slope [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

        [tex]=\frac{-1-3}{-4-4}\\\\=\frac{-4}{-8}\\\\=\frac{1}{2}[/tex]

m = 1/2 , and take any one point (4 , 3)

y -y1 = m(x - x1)

[tex]y - 3 = \frac{1}{2}(x - 4)\\\\y -3 = \frac{1}{2}x-4*\frac{1}{2}\\\\y - 3 =\frac{1}{2}x - 2\\\\y = \frac{1}{2}x - 2 + 3\\\\y =\frac{1}{2}x + 1[/tex]


Related Questions

Identify the slope and y-intercept of the graph of the equation.

Answers

Answer:

y = 1/3x - 2

Slope = 1/3

y- intercept = -2

Step-by-step explanation:

To find the slope and y-intercept, first put the equation in y = mx + b format, Where m is your slope and b is your y-intercept.  

Step one:  Subtract x from both sides

To translate x over to the right side of the equation, subtract x from both sides, leaving you with this equation:

x - x -3y = -x + 6; which simplifies to:

-3y = -x + 6

Step Two: Divide Every Term By Negative 3

To get y alone by itself we need to cancel out -3 on the right side of the equation, to do that you must divide every term by negative 3 leaving you with this equation:

[tex]\frac{-3}{-3}[/tex]y = [tex]\frac{-1}{-3}[/tex]x + [tex]\frac{6}{-3}[/tex]; which simplifies to:

y = 1/3x - 2

M, slope, = 1/3

B, y-intercept, = -2

Find the total force on a piston of diameter 3.25 in., if the pressure (P) exerted on it is 150 lb/sq.In. Use 3.14 for and round to the nearest 50 lbs.

Answers

Answer:

1244 Ibf(Pounds force)

Step-by-step explanation:

The formula for Total force on a piston when given the diameter of the bore area =

F = P × π × d²/4

P = 150 lb/sq.In

π = 3.14

d = 3.25 in

Hence,

F = 150 lb/sq.In × 3.14 × 3.25 in /4

= 4974.9375 ÷ 4

= 1243.734375 Ibf(Pounds force)

Approximately = 1244 Ibf(Pounds force)

What is the probability of getting an even number of dots in tossing a dice once if the ratio of even number to an odd number is 4:7?

Answers

Answer:

The probability is 4/11

Step-by-step explanation:

Here, we want to get the probability of getting an even number

Using the given ratio, the total of the numbers is 4 + 7 = 11

The number of even numbers is 4

So the probability of getting an even number will be the number of even numbers divided by the total of the numbers

We have this as 4/11

someone help pls asap

Answers

Answer:

~27.764982043070833894247682407876

Step-by-step explanation:

First, we can add 8+5.5+8 because of the two sides which are 8 and one that is 5.5. That is 21.5.

Then, we must find the diagonal edge. To do that, we can use the pythagorean theorem. It makes a triangle, so given that a^2+b^2=c^c, we can say that 3^2+5.5^2=c^c. Using a calculator, we can find the square root of 39.25, then add it to 21.5.

Answer:

27.8

Step-by-step explanation:

the other person that answered this is right if you but if you wanted rounded to the nearest tenth it would be would be my answer

What would be the new coordinates of a point that starts at (5,9) and is dilated by a scale factor of 2 and then translated 3 up and 2 right?

Answers

Answer:

(12. 21)

Step-by-step explanation:

Given the coordinate (5, 9), if it is dilated by a factor of 2, the resulting coordinate will be expressed as;

P = 2(5, 9)

P = (2(5), 2(9))

P = (10, 18)

If it is now translated 3 up and 2 right, then the final coordinate will be at;

P' = (10+2, 18+3)

P' = (12, 21)

Hence the final image will be at (12. 21)

Combine like terms for the following expressions:

3x+7−5x

Answers

Answer:

-2x+7

Step-by-step explanation:

Answer:

-2x+7

Step-by-step explanation:

Suppose that triangle ABC is determined by AC - 5,3), B(0, 3), and C(0, 1). Graph the given points
in the rectangular coordinate system. Compute the area of triangle ABC. Enter your answer as an integer
or a reduced fraction.

Answers

Step-by-step explanation:

A man takes an interest free loan of Rs. 1740 from his friend agreeing to repay in monthly installments. he gives Rs. 200 in the first months and diminishes his monthly installments by Rs. 10 each month. how many months will it take to repay the loan?

first to answer correctly gets brainleist if u put a link u get reported so yea. bye thx have a blessed day :).

Answers

60+60+5x=180
120+5x=180
5x=180-120=60
x= 60/5 = 12

Answer:

x is 12

Step-by-step explanation:

Equilateral triangles have equal angle measures, and 5 times 12 equals 60.

Question 4 of 10
Suppose that many large samples are taken from a population, and the
sample proportions center around 0.58. Which of the following is most likely
to be the population parameter?
O A. 0.68
OB. 0.58
O C. 0.78
O D. 0.48

Answers

Answer:

A- 0.68

Step-by-step explanation:

0.58 is most likely to be the population parameter, since the sample proportions center around this value.

Option B is the correct answer.

We have,

When many large samples are taken from a population, the sample proportions should converge to the population proportion.

If the sample proportions center around a certain value, that value is likely to be a good estimate of the population proportion.

In this case,

Since the sample proportions center around 0.58, it is likely that the population proportion is also around 0.58.

Therefore,

0.58 is the most likely population parameter.

Learn more about population parameters here:

https://brainly.com/question/30689789

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Stephanie and 2 friends went to Vancouver for a winter weekend. Stephanie made 7 cups of apple cider. Everyone, including, Stephanie, wants an equal amount of all the apple cider.

Answers

Everyone gets equally 2 1/3 cups of apple cider

Answer:

2 1/3 cups of apple cider

Step-by-step explanation:

Please help me with this question in the picture

Answers

humberger cheese burger big mac wap burger

Evaluate the expression for u = –8 and v = 2.

uv − u

Answers

Answer:

- 8

Step-by-step explanation:

- 8 × 2 - (- 8)

- 8 × 2 + 8

- 16 + 8

- 8

Answer:

-8 i think

Step-by-step explanation:

-8 * 2 + 8

-16 + 8

-8

HELP ASAP PLEASE.

a) according to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. what is the approximate area of the park? show your work.


b)lets say the area of the map is 21 square inches. you want to make q enlarged map of central park to take with you on your journey. describe how you can determine the area of the the enlarged map.


c)supposed the scale factor you will ise to enlarge the map is 5:1. what is the approximate area of the park of the park in your enlarged drawing.


d) how did you apply proportional reasoning as you worked through these problems?

Answers

Answer:

pls give brainlist

Step-by-step explanation:

a. [tex]\frac{50 blocks (L)}{9 blocks(W)\\}[/tex]  50 x 9 = 450. A=450

b. I can scale the unit rate of the area given above and largen the area of the map. Ex. [tex]\frac{7}{3}[/tex]=[tex]\frac{21}{6}[/tex] <---(scaled by 2)

Then we can enlarge it however we want so,

[tex]\frac{21}{6}[/tex] = [tex]\frac{42}{12}[/tex]  <--(scaled by 2 once more)

If the statement above is true then we can scale times 4.

[tex]\frac{7}{3}[/tex]= [tex]\frac{42}{12}\\[/tex] <---(scaled by 4)

A= [tex]\frac{42}{12\\}[/tex]

all i can give u at the moment , if u go on M a t h w a y it can help

Answer:

for them to get brainliest <3

Step-by-step explanation:

A trapezoid has bases of 20 inches and 30 inches. The height of the trapezoid is 15 inches. What is the area of the trapezoid in square inches? in2

Answers

Answer:

375in^2

Step-by-step explanation:

area of a trapezoid is base + base divded by 2 then times that by the height

20 + 30 = 50

50/2 + 25

25 x 15 = 375

HELPPP MEE PEOPLE PLSSS NO BOTS OR I WILL REPORT BUT PLEASEEE HELPPP MEEE Find the point-slope equation of the line using the point (7,4) and slope of 3/2
Use the slash key ( / ) to indicate a fraction.

Answers

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:

y = 3/2* x + b, provided b ⇒ y - intercept,

( 4 ) = 3/2 * ( 7 ) + b,

4 = 21/2 + b,

b = 4 - 10.5,

b = -6.5

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

Answer:

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:

y = 3/2* x + b, provided b ⇒ y - intercept,

( 4 ) = 3/2 * ( 7 ) + b,

4 = 21/2 + b,

b = 4 - 10.5,

b = -6.5

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

Step-by-step explanation:

please help me with this!!

Answers

you have to attach a picture or type the question so we can solve it :)

you have to attach a pic or problem so we can help

multiply by 4, then divide by 2 First term: 60​

Answers

120 is what the total would be if you multiplied 60 by 4 and then divided by 2

Arc length and area

Answers

Answer:

Step-by-step explanation:

school x and school y play eachother in a competition school x has eight more points than school y school x has three times as many points as school y. how many points does each school have?

Answers

Answer:

School X has 12 points and school y has 4 points.

Doen's short is 4 times larger than helen's but costs half as much. Deon's shirt costs $9.35.How much is helen's short?

Answers

Answer:

4.68

Step-by-step explanation:

D=4h large, 1/2h cost

D= 1/2*9.35=cost

D= 1/2*9.35=4.68

Which of these functions has a y-intercept that is greater than that of the linear function represented by the table of values below, and why? ANSWER PLEASE
x- 2,4,6,7,9
y-9,13,17,19,23 (TABLE)
Answer choices:
A
y=x+9, because the y-intercept of the function represented by the table of values is 2
B
y=x+9, because the y-intercept of the function represented by the table of values is 5
C
y=8x+1, because the y-intercept of the function represented by the table of values is 2
D
y=8x+1, because the y-intercept of the function represented by the table of values is 5

Answers

Th y intercept of the table is:

(23-9)/(9-2)= 14/7=2

The answer is:

A

y=x+9, because the y-intercept of the function represented by the table of values is 2

Directions attatched

Answers

Answer:

x=7∠GBD=112∠EFC=112

Step-by-step explanation:

Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.

--------------------------------------------------------------------------

Given

∠GBD=4x+84

∠EFC=16x

m∠GBD=m∠EFC

Solve

4x+84=16x ⇔ Given

4x+84-4x=16x-4x ⇔ Subtract 4x on both sides

84=12x ⇔ Simplify

84/12=12x/12 ⇔ Divide 12 on both sides

x=7 ⇔ Simplify

Substitute the x value into each angle expression

∠GBD=4x+84=4(7)+84=28+84=112

∠EFC=16x=16(7)=112

Hope this helps!! :)

Please let me know if you have any questions

he stemplot shows the number of minutes it took students to complete their homework.

A stemplot titled Minutes to Complete Homework. The values are 0, 5, 10, 10, 15, 15, 18, 20, 25, 26, 32, 35, 37, 38, 40, 43, 45, 45, 45, 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, 60.

How many students took more than 45 minutes to complete their homework?

There are
students who took more than 45 minutes to complete their homework.

Answers

Answer:

11 students  :)

Step-by-step explanation:

That should be correct if I'm wrong just ignore this.

The number of students who took more than 45 minutes to complete their homework is 11.

What is a stemplot?

A stem-and-leaf display, also known as a stem-and-leaf plot, is a technique used to visualize the shape of distribution by displaying quantitative data in a graphical fashion, similar to a histogram.

For the given stemplot the number of students who took more than 45 minutes to complete their homework can be calculated by counting the number of observations that are more than 45.

Therefore, the observations that are more than 45 are 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, and 60.

Hence, the number of students who took more than 45 minutes to complete their homework is 11.

Learn more about Stemplot here:

https://brainly.com/question/9125085

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444444+44444444333333333333333

Answers

Answer:

4.4444444e+22

Step-by-step explanation:

A tree has circumference of 98 inches. Find the area of a circle with that circumference.

Answers

Answer:

7542.96

Step-by-step explanation:

Which inequality is equivalent to X-419? 0-9>x-4< 9 0-9 -9 or x-4< 9​

Answers

Apply the absolute rule:

If |u| <a, a>0 then -a <u < a

|x-4| <9

-9 < x-4 < 9

The correct answer is the second one.

Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?

Answers

Answer:1.36%

Step-by-step explanation:

I just took the exam and my answer was correct.

slopeeeee is soo hardddd brehh

Answers

Answer:

Its C

Step-by-step explanation:

Answer:

C. 3

Step-by-step explanation:

First I'll solve y + 1 = 3x - 12 for y.

y + 1 = 3x - 12 All you need to do for this first part is subtract 1 from both sides.

y = 3x - 12 - 1

y = 3x - 13

I'll use the point for x being 6, and x being 12.

3(6) - 13

18 - 13

5

y is 5 when x is 6. (6, 5)

3(12) - 13

36 - 12

y is 23 when x is 12. (12, 23)

The formula for slope is y2-y1/x2-x1

(23 - 5)/(12 - 6) Subtract 5 from 13, and then subtract 6 from 12.

18/6 Divide 18 by 6.

3

The slope to the line y + 1 = 3(x - 4) is 3, which is C.

1) Hank is looking to sell his motorcycle. He compiles these prices from the newspaper for bikes just like his
$2,000; $ 16,900; $15,100; $14,500; and $17,000. Is it more reasonable for Hank to use the mean or the
median to get a reasonable estimated price for his bike?

Answers

Answer:

The median

Step-by-step explanation:

If you look at the sample section of the 5 different prices, you can see that $2,000 is very far away from the rest of the prices, which range from $14,000 to $17,000. This $2,000 is an outlier, and is likely not accurate in predicting reasonable prices for Hank's bike, so it should not be a factor in his decision or contribute to the mean value.

Hunter assumed he would only get 54
problems correct on his test, but he
actually got 78 correct. What was his
percent error?
Hint: Percent error = | Prediction - Actual
x 100
| Actual
Round to the nearest percent.
[ ? ]%

Answers

Answer:

Percent error is 44.4%

Step-by-step explanation:

Here, we want to get the percent error

From the question, prediction is 54 while actual value is 78

from the formula given;

Percent error = |prediction-actual|/actual * 100%

so we have

|54-78|/54 * 100%

= 24/54 * 100% = 44.4%

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