HELP ASAP
Write the equation of the line that passes through the points (1,-4) and (4, -5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line

Answers

Answer 1

Answer:

[tex]y+4 = -\frac{1}{3} (x-1)[/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] to find the slope. Substitute the x and y values of the given points into the formula and solve:

[tex]m = \frac{(-5)-(-4)}{(4)-(1)} \\m = \frac{-5+4}{4-1} \\m = \frac{-1}{3}[/tex]

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

2) Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.    

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

Answer 2

Answer:

Step-by-step explanation:

Thanks for my points back


Related Questions

find each measure plz help

Answers

Answer:253?

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form?

Answers

Answer:

y=-[tex]\frac{1}{2}[/tex]x+1

Step-by-step explanation:

So the first number after the y= is the slope which is - 1/2 then you add an X after that. Then you add the y-intercept point which on this graph is 1.

Which proportion can be used to find the arc length, s, in units?

Answers

Answer:

Option B

Step-by-step explanation:

Formula to be used to calculate the length of an arc,

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Angle subtended at the center by the arc

r = radius of the circle

By substituting values in the formula,

s = [tex]\frac{150}{360}(2\pi )(42)[/tex]

[tex]\frac{s}{2\times 42\pi }=\frac{150}{360}(\frac{2\times 24\pi }{2\times 24\pi } )[/tex]

[tex]\frac{s}{84 \pi }=\frac{150}{360}[/tex]

Therefore, Option B will be the answer.

Can someone help me with this please?

Answers

Answer:

the function is linear

Step-by-step explanation:

now you figure this out in many ways,

but the easiest is to plot the points on a Cartesian x-y plane, rule a line through the points,if it's in a straight line then its linear if it's a curve its cubic

from the question, after plotting your points.ie (-9,-2),(-5,-7),(-1,-12),(3-17)

we get a straight line pointing downwards.

I hope this is convenient enough

hii please help i’ll give brainliest

Answers

C: Bc 3 * c = 3c (plus 7 more) = 7+3c

Answer:

Answer C or "7+3c"

Explanation:

This is because, 7 more would mean its independent on its own side of the plus sign and 3c mean 3 multiplied by ... (any number)

Hope this helps and please mark brainliest!


Makenzie leaves her home at 10am. She has to be at her grandmother's house, which is 42 miles away. The
speed limit is 65mph on the highway between their houses. Can she make it to her grandmother's house by
10:30 without speeding?

Answers

Answer:

no

Step-by-step explanation:

will take approximately 1-2 hours or even longer

Is v = 12 a solution to the inequality below?
V> 7

Answers

Answer: Yes

Step-by-step explanation: If V=12

Then we plug in for the inequality and get 12>7

the number of wolves in a wildlife refuge can be modeled by an exponential function where x is the number of decades since population counts began and y is the average annual number of wolves during the decade is given in the table
WHICH GRAPH IS THE GRAPH OF THE FUNCTION??

Answers

You didn’t even show the graphs tho

What is the measure of an angle that is the supplement of angle K?



A.

30°

B.

50°

C.

None of the above

D.

60°

E.

40°

Answers

Answer:

is the measure of an angle that is the supplement of angle K=180-150=30

A.is your answer

| 4r - 12 | , if r < 3
Rewrite this expression without using absolute value
I nEeD hElP qUiCk!

Answers

Answer:

Step-by-step explanation:

Normally when you are doing an absolute value question, you do it like this

y = abs(4x - 12) and you write the absolute value equation as

y = 4x - 12 and

y = - 4x + 12

These two are shown in graph27a

to show both wings of the absolute value curve

This is slightly different.

I think you would write this as

y = 4x - 12 {r <3} where the restriction is outside the equation written with curly brackets. You should see both graphs together. The discussion of r<3 is shown in graph 27b

what is 5 times a number minus 3 is 12 ?​

Answers

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

Answer:

3

Step-by-step explanation:

x - 3 = 12

12 + 3 = 15

15 - 3 = 12

5( ? ) = 15

15/5

? = 3

5(3) = 15 - 3 = 12

Hope this helps dude

what is 2+2
haha take all the points and mark me brainliest and like

Answers

Answer:

4

Step-by-step explanation:

Find the slope and y intercept on the graph

Answers

Answer:

slope should more than likely be y = -2 + x = 1

Step-by-step explanation:

The expression 9a + 7c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
a. The cost for 1 adult is?
The cost for 1 child is?
b. The total cost for 1 adult and 3 children is?
c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?

Answers

Answer:

a. $16

b. $30

c. for 2 adults and 2 children it is $32, so they are $2 short.

Step-by-step explanation:

i hope this helps :)

PLZZZZZZZZZZ i said plzzzzzzzzzzzzzzzzz

Answers

Answer:

136

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

90+46

The data represents the height, in feet, of various buildings. Find the Interquartile Range.

60, 58, 54, 56, 63, 65, 62, 59, 56, 58

Plsss helpppppp :(
This is a testt!

Answers

Answer: 6

Step-by-step explanation:

Can you please help me solve for x for this triangle please!!

Answers

X=17.


Hope this helps

Answer:

See below, please!

Step-by-step explanation:

Since this triangle is a right triangle, the two acute angles are always going to be complementary (adding up to 90 degrees). So we can set up an equation: 2x+3x+5=90. Solve this and we get x=17.

Hope this helped!

is statistics class hard? i signed up for it and kinda regretting it

Answers

Answer:

yes it is hard

Step-by-step explanation:

Most people don’t really learn statistics until they start analyzing data in their own research.

How are angles 7 and 8 related

Answers

Answer:

∠8 and ∠7 are a linear pair; they are supplementary. Their measures add up to 180°. Therefore, ∠7 = 180° – 53° = 127°.

Step-by-step explanation:

Have great day!!!!

Submarines use sonar systems, which are similar to radar systems, to detect obstacles. Sonar systems use sound to detect objects underwater.



a. You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34∘ to the bottom of the iceberg. How many meters must the submarine lower to pass under the iceberg?



The submarine must lower at least ____ meters.


Question 2
b. The sonar system then detects a sunken ship 1500 meters ahead, with an angle of elevation of 19∘ to the highest part of the sunken ship. How many meters must the submarine rise to pass over the sunken ship?

The submarine must rise at least ____ meters.

Answers

Answer:

a. tan(34)= O/4000 and follow the solving to get the distance it must be lowered

b. (Same idea as a) tan(19)=1500/A and solve to get the distance

The submarine must lower at least 2698 meters and the submarine must rise at least 516.45 meters.

Given that, the sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34∘ to the bottom of the iceberg.

What are trigonometric angles?

Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.

a) We know that, tan θ = (Perpendicular/Base)

Let the number of meters must the submarine lower to pass under the iceberg be x.

tan θ = x/4000

⇒ tan 34° = x/4000

⇒ 0.6745 = x/4000

⇒ x = 0.6745 × 4000

⇒ x = 2698 meters

b) Let the number of meters must the submarine rise to pass over the sunken ship be y.

tan θ = y/1500

⇒ tan 19° = y/1500

⇒ 0.3443 = y/1500

⇒ y = 0.3443 × 1500

⇒ y = 516.45 meters

Therefore, the submarine must lower at least 2698 meters and the submarine must rise at least 516.45 meters.

Learn more about the trigonometric angles visit:

https://brainly.com/question/24174128.

#SPJ2

suppose you borrow $300 at a yearly, or annual, simple intrest rate of 3.4% for 3 years. what values would you use for P,r, and t?

Answers

Answer:

P=300

r= 3.4%

t=3

Step-by-step explanation:

WHAT IS THE ANSWER PLZ HELP

Answers

Answer:

sorry I'm not that good at math

Step-by-step explanation:

[sorry for the waist of time]

Part C
Vertical angles are the angles opposite each other when two lines intersect. Which angles are vertical to the given angles? Complete the table.

Answers

Answer:

angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

Answer:angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

also love ur pfp

Sophia’s dad paid $18.70 for 8.5 gallons of gas at the super gas mart. What is the cost of one gallon of gas and how much would it cost to also fill a 5 gallon container for his lawnmower

Answers

Answer:

2.20$

11$

Step-by-step explanation:

18.70/8.5=2.2

2.2= 2.20$

2.2x5=11

11=11$

Write the percent as a fraction in simplest form and as a decimal.

16.24%

Answers

Decimal = 0.1624

Fraction = 203/1250

Percent = 16.24%

Answer:

203/1250  0.1624

Step-by-step explanation:

what is (1 5th) divided by 6 ps.1 5th is my fraction

Answers

Answer:

The answer is 0.3 repeating or in a fraction 1/3

Step-by-step explanation:

All you have to do is divide 1/5 th by 6 and then make it a fraction it's not that hard.

Morning donuts recently sold 18 donuts of which 1 was a cake donut. What is the experimental probability that the next donut sold will be a cake donut

Answers

1 in 18 chance because one was cake out of 18 donuts

Explain why rational expressions have restrictions

Answers

Answer:

Mostly for simplifying, the restrictions are the same no matter is being simplified or not. The restriction of a rational expression is always in the denominate

Step-by-step explanation:

Point D'' (-4,-2) is a vertex of a quadrilateral A'' B'' C'' D''. The original image was rotated 270 degress counterclockwise around the origin and then reflected over the x-axis.

Part A: What are the coordinates of the original image's point D before the composition of transformations?

A. (-4,-2)
B. (-2,-4)
C. (-2,4)
D. (2,-4)

Part B: The original image is quadrilateral ABCD. Point C is on the same y-axis of point D, but five units to the right of point D. If quadrilateral A'' B'' C'' D'' is transformed following the rule (x,y)---> (x-4, y+2), what are the coordinates of point C''?

Answers

Answer:

steps below

Step-by-step explanation:

part A: D'' (-4 , -2)  (reverse) reflection over x axis -> (-4 , 2)

           (-4 , 2) rotated 270 degrees clockwise: -> D (-2 , -4)

Part B: C (-2+5 , -4) = (3 , -4)

           C" (3-4 , -4+2) = (-1 , -2)

when you two shapes to compare on a coordinate plan,you can determine the scale factor, knowing that the transformation was a dilation.Generate instructions you would give another student to determine the scale factor.​

Answers

Answer:

jjjjjj

Step-by-step explanation:

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