1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
3 years ago
14

What is the equation of the line that passes through the point (-2,5) and has a slope of -4?

Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

\boxed {\boxed {\sf y= -4x -3}}

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

y-y_1= m(x-x_1)

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

  • m= -4
  • x₁= -2
  • y₁ = 5

Substitute the values into the formula.

y-5 = -4 (x--2)

y-5 = -4 (x+2)

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

y-5=( -4 *x ) + (-4* 2 )

y-5 =(-4x)+ (-8)\\y-5= -4x -8

5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.

y-5 =-4x -8 + 5

y= -4x -3

The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.

You might be interested in
13. You and a friend have dinner at a restaurant. Your meal costs $15.85 and
aalyn [17]
Xbxkskeshxikrjdkwwkndjxjx
7 0
3 years ago
PLZ HELP!!! I’ll give brainly !!!!!
fredd [130]

Answer:

(3,-2)

Step-by-step explanation:

The vertex is the lowest point of the arc!

Hope I helped!

3 0
2 years ago
Read 2 more answers
The coordinates of the endpoints of AB are A(- 8, - 2) and B(16, 6) . Point P is on AB. What are the coordinates of point P, suc
Mademuasel [1]

Answer:

The Ans is A

Step-by-step explanation:

using midpoint  fomula

(x,y) = (m1x2 +m2x1/m1+m2) ,(m1y2+m2y1/m1+m2)

4 0
2 years ago
Read 2 more answers
Simplify<br> 8V 28<br><img src="https://tex.z-dn.net/?f=8%20%5Csqrt%7B28%7D%20" id="TexFormula1" title="8 \sqrt{28} " alt="8 \sq
omeli [17]
“42.3” I wish I got easy questions like you do
5 0
3 years ago
What is the solution to the equation −p − 13 = −4 /3 p + 2/3 ( 5p − 6 ) ?
jekas [21]

Answer:

The answer is p= 2 and 1/3

Step-by-step explanation:

This answer can be found using the order of operations to solve for p.

Start by distributing 2/3 by (5p-6)

add -4/3p to 10/3p equaling 6/3p or 2p

subtract 13 from both sides

-p= 2p - 7

p=2 and 1/3

3 0
2 years ago
Other questions:
  • monkeys at the zoo eat 4 cups of food everyday. Elephants eat 76 times as much. Which equation and solution represent the number
    10·1 answer
  • If y=3 and 2x+4y=8 what does x equal?
    7·1 answer
  • What is the difference of the values of the two variables in this system of equations? y = 2x + 1 x + 3y = 10 A. 0 B. 1 C. 2 D.
    6·2 answers
  • So, im not sure what the rest of the values should be. Should the a or b value increase?
    8·1 answer
  • A 2% suspension in saline contains how many ml per 5 ml saline?
    13·1 answer
  • If you vertically stretch the exponential function, f(x)=2^x, by a factor of 4, what is the equation of the new function?
    7·2 answers
  • I NEED HELP ASAP PLEASE THANK YOU
    11·1 answer
  • The combined area of the lots is 8,375 square feet. How many feet wide is Lot Y?
    14·1 answer
  • © Sally borrowed $14,000 at an interest rate
    10·1 answer
  • A the population of bacteria in a petri dish is represented by
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!