What is the equation of the line that passes through the point (-1, -7) and has a
slope of 2?

Answers

Answer 1

Answer:

y = 2x - 5

Explanation:

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

Answer 2

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation [tex]b=y_1-m*x_1[/tex]. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.


Related Questions

PLEASE HELP MEEEEE!!!!

An electrician charges $40 to come to your house. She also charges $55 for each hour that she works. The electrician charges you a total of $190. How many hours does the electrician work at your house? Use h for the number of hours.

Answers

Answer: 2 hours and 40 minutes

Step-by-step explanation:

40 + 55h = 190         ( equation )-40             -4055h = 150/55     /55h = 2 hours and 40 min      ( answer )

Write an equation of a line which has a slope of -2 and goes through the point (-4,11)

Answers

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

at noon, a tank contained 8 in. of water. after several hours, it contained 6 in. of water. what is the percent decrease of water in the tank?

Answers

Answer: 25%

Step-by-step explanation:

To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.

Jake earns $9.85 per hour working at a software company. He wants to earn at least $300 a week. How many full hours must he work to earn the money?

Answers

Answer:

30.4 hours

Step-by-step explanation:

300 divided by 9.85

This gives you 30.4

Write equations for the horizontal and vertical lines passing through the point (4-1)

Answers

Answer:

y = - 1 , x = 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 1 ) with y- coordinate - 1 , then

y = - 1 ← equation of horizontal line

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 1 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line

if one rents a car from Airport Rent-a-Car, the charge is $79 plus 7 cents a kilometer. Savings Rent-A-Car charges $59 plus 9 cents a kilometer. If one will drive d kilometers, when is it cheaper to use Savings Rent-A-Car?

Answers

It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:

79 + 0.07 x 30 = 79 + 2.1 = 81.1 59 + 0.09 x 30 = 59 + 2.7 = 61.7 79 + 0.07 x 300 = 100 59 + 0.09 x 300 = 86  79 + 0.07 x 600 = 121 59 + 0.09 x 600 = 113  79 + 0.07 x 900 = 142 59 + 0.09 x 900 = 140  79 + 0.07 x 1000 = 149 59 + 0.09 x 1000 = 149

Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Learn more about maths in https://brainly.com/question/26027910

Solve the inequality-8≤3x-17<19

Answers

Answer: The answer is X∈[3,12).

Answer:

-8≤3x-17<19

-8+8 ≤ 3x - 17 + 8 < 19 + 8

0 ≤  3x - 9 < 27

0 ≤  3x - 9 + 9 < 27 + 9

0 ≤  3x <  36

0 ≤ 3x / 3 <  36/3

0 ≤ x < 12

So x can be 0 or less than 12. A number between 0 and 12

What is the value of the expression

Answers

Answer:

Option C) 5/8 is correct.

For explanation, Refer to the attachment.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

C

Step-by-step explanation:

Substitute the values for v and w into the expression.

[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{5}{8}[/tex] → C

Plz help with this question

Answers

Answer:

the area of the tile is 190 cm2

The area of a triangle is 40 square inches.
The base of the triangle is x + 1,
and the height is x - 1.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

Answers

Answer:

+9 and -9

Step-by-step explanation:

What is the slope of the graph of
y= 5/2x+3?

-

Answers

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

how to graph equations using x and y intercepts

Answers

Answer:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

i dont know im on break and I don forgot how to do this

geometry PLEASE HELP and explain how???

Answers

Answer:

x means times

Step-by-step explanation:

the perimeter of a square is 52cm

Answers

Answer:Side = 13cmStep-by-step explanation:

We know that:

Perimeter: 52cm4(side) = 52cm

To find the side, we will need to divide 52 by 4.

=> 4(side) = 52cm=> Side = 52 ÷ 4=> Side = 13cm

Therefore, the side of the square with 52 cm of perimeter is 13 cm.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.

Answers

Answer:

Step-by-step explanation:

the associative property means that when you are adding OR multiplying you can group the numbers however you want

Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167

The associative property is when an equation can be rearranged without changing the answer.
Jacob is incorrect.
(12+31)x5=215
Because of PEMDAS, parenthesis are the first thing you have to solve for. 12+31=43. 43x5=215.
12+31x5=167
You would have to do 31x5 first because of PEMDAS, multiplication comes before addition. 31x5=155. 12+155=167.

how to find the legs of a right triangle with only the hypotenuse calculator

Answers

Answer:

The triangle must be an isosceles triangle so as to only get one measurement

Step-by-step explanation:

The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse

THE FORMULA: A square+b square=c square

Please find the surface area of the pyramid... I will mark you brainliest

Answers

Answer:

 S.A. = 704 in²

Step-by-step explanation:

Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the  perimeter of the base, and B is the area of the base .

Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256

S.A = 1/2 · 14 · 64 + 256

 S.A. = 448 + 256

  S.A. = 704 in²

The perimeter of a rectangle is 80 feet.

Find the dimensions if the length is 5 feet longer than four times the width.

Then find the area of the rectangle.

Answers

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

Need help Now please
on High School geometry a is altitude, if it doesn’t show on the picture

Answers

Answer:

1. Altitude

2. Median

3. Angle bisector

4. Perpendicular bisector

Find two numbers that round to 387.4 when rounded to the nearest tenth.

Answers

answer:
1. 387.43 (.43 is closest to .4, not .5)
2. 387.41 (.41 is closest to .4, not .5)

hope this helps!

2y-7.4y=141.36
solve for y

Answers

2y-7.4y=141.36
-5.4y=141.36
-y=141.36/5.4
y= -26.1777778 or -26.18

Sketch the graph of each linear inequality

Answers

Answer:

hope you can see these, the red graph is problem 3 and the blue graph is problem 5 :)

What is the value of the expression shown below, when p= 1 and q= 4

Answers

Answer:

The correct answer is 5.

Step-by-step explanation:

I got 100% on the assignment

The price of an item at the store can be defined by the variable w.

Based on this information, which of the options below represents a markup in price for that item? Select all that apply.


A)0.85w
B)0.92w
C)1.1w
D)1.15w
E)1.25w

Answers

Answer:

  C)  1.1w

  D)  1.15w

  E)  1.25w

Step-by-step explanation:

A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.

___

Choices A and B represent a markdown, or discount.

someone please help this is due in 25 minutes​

Answers

28=9x-8

36=9x

x=4

:) hope it helps!

Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.

Answers

Answer:

[tex]cos\theta=\frac{20}{29}[/tex]

Step-by-step explanation:

Problem:

[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]

Given:

[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]

Solve for adjacent side:

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+21^2=29^2[/tex]

[tex]x^2+441=841[/tex]

[tex]x^2=400[/tex]

[tex]x=20[/tex]

Final answer:

[tex]cos\theta=\frac{20}{29}[/tex]

The value  [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.

Given that,

The value  [tex]\rm Sin\theta[/tex] is 21/29,

Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].

We have to determine,

The value of [tex]\rm Cos\theta[/tex]?

According to the question,

To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.

The formula of [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

On comparing to the given value of  [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]

Here, Hypotenuse = 29, and Perpendicular = 21

Then,

The formula of [tex]\rm Cos\theta[/tex] is,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]

Let, the base be x,

The value of base finding by using Pythagoras theorem,

[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]

The value of the base is 20.

Therefore,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]

Hence, The value  [tex]\rm Cos\theta[/tex] is 20/29.

For more details about Pythagoras theorem refer to the link given below.

https://brainly.com/question/13710437

Describe the transformation

Answers

Answer:

6 to the right

Step-by-step explanation:

Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).

in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games​

Answers

Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

-
If f(9) = - 3, write a corresponding ordered-pair solution.

Answers

Answer:

(9,-3)

Step-by-step explanation:

u just have to plug it up

Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).

Answers

Answer:

y=x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-2)

m=2/2

m=1

y-y1=m(x-x1)

y-4=1(x-2)

y=x-2+4

y=x+2

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