Write an equation in slope-intercept for the line that goes
through the points (3, -3) and (6, -2)..

Answers

Answer 1

Answer:

y = 1/3x - 4

Step-by-step explanation:

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Answer 2

Answer:

[tex]y = \frac{1}{3} x-4[/tex]  

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:

[tex]m=\frac{(-2)-(-3)}{(6)-(3)} \\m = \frac{-2+3}{6-3} \\m = \frac{1}{3}[/tex]

Thus, the slope is [tex]\frac{1}{3}[/tex].

2) Next, write the equation of the line using the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex]. (From there, we can convert it to slope-intercept form.) Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{3}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of either one of the given points (it doesn't matter which one, it will equal the same thing) into the formula as well. I chose (3, -3), as shown below. From there, convert the point-slope form of the equation to slope-intercept form by isolating y:

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


Related Questions

A 10 METER PIECE OF WIRE IS CUT IN TO TWO PIECES ONE PIECE IS 2 METERS LONGER THAN THE OTHER HOW LONG ARE THE PIECES

Answers

one piece is 6m and the other is 4m

one piece is 2m

one is 8m

HELP PLEASEEE,
Answer choices:
VW
WX
XY
YZ

Answers

i think the answer is XY

(7t^5 ) (2t^3 ) simplify

Answers

Answer:

14t^8

Step-by-step explanation:

Answer:

14t^8

Step-by-step explanation:

PLEASEEEEEEEEEEEE HELPOPPBMEEEEE

Answers

Answer:

The answer is 7.14

Step-by-step explanation:

good luck

find the area of a circle with a circumference of 6.28 units....
it's hard so what is the answer

Answers

Answer:

3.14

Step-by-step explanation:

Ted's company has received an order to print 10^6 pages. Ted's company has 100 machines., each of which can print 10^4 pages a day. Ted's coompany can print the 10^6 pages in 1/10 day, 1 day, 10 days, or 100 days?

Answers

Answer:

1 day because he has 100 machines not just one

Step-by-step explanation:

Sra bought a pair of shoes that were on sale for 30 percent off. If the oringal prices was 29 what is the sale price on the shoes?

Answers

Answer:

$20.30

Step-by-step explanation:

Original price = 100% of the price

100% = $29

1% = 29 ÷ 100 = 0.29

Sale percentage = 30%

30% = 0.29 x 30 = 8.70

Since they are asking for the sale price of the shoes, it means the price of the shoes after the discount of the sale percentage.

29 - 8.70 = 20.3

helps pls :-/
number 12
any help is greatly appreciated!

Answers

x = 5, that’s the answer to question 12

cellus
Solve for x.
x = [?]
2x + 1 4x - 19
Enter

Answers

Answer:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33

50POINTSSSSSSSSSSSSSSSSSSS

A square has sides measuring (x-6). If the area of the square is 64 sq. inches, what is the length of each side? PLEASE SHOW WORK

Answers

Answer:

Step-by-step explanation:

square has 4 sides

area is 64

64 divided by 4 is 16

the length is 16 of each side

But if you have to subtract 6 from it then it is 22.

22-6=16

Do 64 divide 4 which will give you 16

HELP ILL GIVE BRAINLIEST what shape is the base??

Answers

Answer:

rectangle

Step-by-step explanation:

it's width is 6

it's length  is 12

it couldn't be a square

Find the common
ratio of the geometric sequence 1, -3, 9, -27, 81, ...?

Answers

the common ratio is -3, u are multiplying each term by -3

Which is the smallest fraction? *

(a) 3⁄4

(b) 4⁄5

(c) 9⁄10

(d) 3⁄2​

Answers

Answer:

C

Step-by-step explanation:

(A) 3/4 would be the answer because...

3/4=0.75
4/5=0.80
9/10=0.90
3/2=1.50

The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

[tex]y = 2x + 5[/tex]

Job B

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]

The first step is to calculate the rate of Job B using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,10)[/tex]

So, we have:

[tex]m = \frac{10 - 6}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

So, the hourly rate of job B is $4/hr

For Job A:

[tex]y = 2x + 5[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where m is the rate

By comparison:

[tex]m = 2[/tex]

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

The hourly rate  of Job A is greater than the hourly rate of Job BThe hourly  rate of Job A is twice the hourly rate of Job B.

Wright the ratio 4.5 : 2.35 in the form n : 1

Answers

Answer:

[tex]\frac{9}{47}: 1[/tex]

Step-by-step explanation:

you can divide both sides by 2.35 to get the right side to be 1:

[tex]4.5: 2.35\\\frac{9}{47}: 1[/tex]

At a college, the tuition increased by 10%. Let b be the former cost of tuition. Use the expression b + 1.10b for the new cost of tuition. Write an equivalent expression by combining like terms

Answers

Given:

At a college, the tuition increased by 10%. Let b be the former cost of tuition.

Use the expression [tex]b + 0.10b[/tex] for the new cost of tuition.

To find:

The equivalent expression by combining like terms.

Solution:

We have,

[tex]b + 0.10b[/tex]

On combining the like terms, we get

[tex]b + 0.10b=1.10b[/tex]

Therefore, the required equivalent expression is 1.10b.

(6a^3+7a^2) -(5a^3+9a^2+a)=(6a 3 +7a 2 )−(5a 3 +9a 2 +a)=left parenthesis, 6, a, cubed, plus, 7, a, squared, right parenthesis, minus, left parenthesis, 5, a, cubed, plus, 9, a, squared, plus, a, right parenthesis, equals

Answers

Answer:

You mean like this?

Which statement is true?
A probability of − 1 indicates an event will likely happen.
A probability of 0.4 indicates an event will never happen.
A probability of 0.9 indicates an event will probably not happen.
A probability of 1 indicates an event will definitely happen.

Answers

Answer:

Its d

Step-by-step explanation:A probability of 1 indicates an event will definitely happen.

The true statement  is D; probability of 1 indicates an event will definitely happen.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence . An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

It is a numerical representation of the likelihood or likelihood that a particular event will occur, Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1.

The correct statement is D; A probability of 1 indicates an event will definitely happen.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

PLEASE ANSWER THIS QUESTION!!!!!!!!!

Answers

Answer:

the answer is 6.5 because the left side would be 44 and the right side would be 46.5

Step-by-step explanation:


150 people attend a play.
45 of them are male.
Write the ratio male : female in its simplest form.​

Answers

Answer:

Step-by-step explanation:

If 150 people attend and 45 are male.

females=150-45=105 so

m:f=45:105 (the gcf is 15 so we simplify by dividing each term by 15)

m:f=3:7

What are the solutions to 40x2 – 30x = 135? Select all that apply.

Answers

Answer:

-3/2, 9/4

Step-by-step explanation:

Given the equation y = mx+q
Change the subject of the formula of
1.1.1 m​

Answers

Answer:

m = [tex]\frac{y-q}{x}[/tex]

Step-by-step explanation:

Given

y = mx + q ( subtract q from both sides )

y - q = mx ( divide both sides by x )

[tex]\frac{y-q}{x}[/tex] = m

what is the value of 5 in 102,587​

Answers

5 is in the hundredth place

Independent Practice

Find the slope of the line that passes through the pair of points.


(4, 8), (8, 11)


A.
−43


B.
−34


C.
343 fourths


D.
434 thirds

Answers

Answer:

C.

343 fourths

Step-by-step explanation:

C.

343 fourths

Answer: C.    3/4 gradpoint

A.    my answer

343 fourth

Step-by-step explanation:Use the slope formula to find the slope  m .

m =  3 /4

Use the slope formula to find the slope  

m

.

m

=

3

4

Please help me with this i give brainliest.

Answers

Answer:

x = 9 + 35p

x must be less than or equal to 350 (bottom)

What are the intercepts of this line?
A x-int: 0.5: y-int -1
B x-int: -0.5 y-int. 1
C x-int: 0.5. y-int: 1
D x-int: -0.5 y-int: -1

Answers

Answer:

I believe it would be B, very sorry if this didn't help!

Step-by-step explanation:

Answer: C x-int: 0.5. y-int: 1

Step-by-step explanation:

We first see the y-int of the graph, where x equal to 0.

Based on the graph, y is passed the y-axis on the positive sign, which means that y-int is (0,1), only b and c fits.

And we can clearly see the x-int is on the positive sign also, which is (0.5,0), c is the answer.

Determine if the triangles can be proved congruent, if possible, by SSS, SAS, ASA, AAS, or HL. If not, choose not congruent
W

Answers

Answer:

Image please

Every summer, Lacey goes on a week-long canoe trip with her childhood camp friends. After
the trip, she usually purchases some oars from the destination city. Her collection of oars is
organized by year and type of wood.

Answers

Answer:

5/18

Step-by-step explanation:

So sorry if this is wrong but to find the probability you must add all of your things (oars) together then find what the chance of getting that is so 4 oak 5 ash in 2010+4 oak and 5 ash in 2011 is 18 oars total and there was 5 ash in 2011 so the answer is 5/18

Earl earned $356 in gross pay. He had
$27.23 deducted for FICA taxes and $52.69
deducted for state and federal taxes. What
percent of his gross pay did he take home?

Answers

Answer:

77.5506% I believe is the answer unrounded.

77.55% rounded to the nearest hundredth.

77.6% rounded to the nearest tenth.

Step-by-step explanation:

356 = 100%

(356 - 27.23) - 52.69

328.77 - 52.69

276.08

Find the Mean, Median & Mode: 2, 6, 15, 3, 1, 8, 7

Answers

Answer:

There is no mode

Step-by-step explanation:

Answer: mean is 46 median is 6  

Step-by-step explanation:

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