Question

Write an equation in slope-intercept form of the line that goes through (5, -10) with slope -4.

y=mx+b

Hint: Solve for b by substituting what is given.

Answer 1

y = -4x + 10

Explanation:

y = mx + b

You are given a slope of -4. The slope is m. Substitute m with -4.

y = -4x + b

To find b, follow the hint. Substitute the coordinates of the point for x and y, and solve for b.

y = -4x + b

Using point (5, -10),

-10 = -4(5) + b

-10 = -20 + b

10 = b

Now replace b with 10

y = -4x + b

y = -4x + 10