SOLUTION: Find the equation of the line with Slope =-2 and passing through (−8,24). Write your equation in the form y=mx+b.

Question 1197580: Find the equation of the line with Slope =-2 and passing through (−8,24). Write your equation in the form y=mx+b.
Found 4 solutions by josgarithmetic, MathLover1, greenestamps, math_tutor2020:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Plug directly into the point-slope formula. Then just some simple algebra.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
the equation of the line:

if the slope we have

and if passing through (,) we have

and your equation is

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Given the slope and a point, many students find it easier to use the slope-intercept form of the equation instead of the point-slope form.

Note also that the question asks for the answer in y=mx+b (slope-intercept form). Using the point-slope form to find an equation and then converting it to slope-intercept form is inefficient.

The equation is y=mx+b; m=-2 is the slope; and the point is (x,y)=(-8,24). Plug all those into the equation and solve for b.

24=-2(-8)+b
24=16+b
b=8

ANSWER: y=-2x+8

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Here's the point-slope approach

Plug in given slope m = -2

Plug the coordinates of the given point (-8,24)

Or you can use the approach mentioned by the other tutors to determine the y intercept.

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