Question

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

Answer 1

Answer:

A) y = -5x - 8

Step-by-step 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

$y=-5x-8$