Question

What is the equation of the line that passes through the point (-1, -3) and has a slope of -5?

A) y=-5x-8
B) y=-5x-16
C) y=-5x+16
D) y=-5x+8

Answer 1

A) y = -5x - 8

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point on a line

We have the slope m = -5, and the point (-1, -3). Substitute:

`y-(-3)=-5(x-(-1))\\\\y+3=-5(x+1)`

Convert to the slope-intercept form (y = mx + b):

`y+3=-5(x+1)` use the distributive property

`y+3=-5x-5` subtract 3 from both sides

`y=-5x-8`