Question

Warm Up
Find the slope intercept form of a line that
has a slope of 1/2 and passes through (-4, 7)

Answer 1

Given the slope m and a point (a,b) of a line, its equation is given by

$y-b=m(x-a)$

In your case, a = -4, b = 7 and m=1/2, so we have

$y-7=\dfrac{1}{2}(x+4) \iff y=\dfrac{x}{2}+2+7\iff y=\dfrac{x}{2}+9$