Question

Write an equation of the line passing through (-4,7) and having slope - 5. Give the answer in slope-intercept form.

The equation of the line in slope-intercept form is

Answer 1

Explanation:

The general equation is y = mx + b

You already have m which is the slope. So the general equation becomes y = -5x + b

The point is meant to find b

x = - 4

y = 7

7 = - 5*-4 + b

7 = 20 + b Subtract 20 from both sides.

7 - 20 = 20-20 + b Combine

- 13 = b

Answer: y = - 5x - 13