Question

A line passes through the point -4, -2 and has a slope of -5/4.

Write an equation in slope-intercept form for this line.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -5/4 and the point (-4, -2) lies on the line, we can substitute these values into the equation to solve for the y-intercept.

-2 = (-5/4)(-4) + b
-2 = 5 + b
b = -7

Therefore, the equation of the line passing through the point (-4, -2) with a slope of -5/4 can be written as:

y = (-5/4)x - 7