A line with a slope of –1/4 passes through the point (4, –8) . What is its equation in slope-intercept form?

Answer 1

Hi Alicia!

Note that the equation for slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

First, we plug in the coordinate (4, -8) and the slope of -1/4 into the equation to get the y-intercept:

-8 = (-1/4)(4) + b

-8 = -1 + b

b = -7

Therefore, the equation in slope-intercept form is: y = (-1/4)x - 7