Answer
The y-intercept is $5$
Work Step by Step
Line m passes through two points
Point 1: $(-9,4)$ which is $(x_1,y_1)$
Point 2: $(9,6)$ which is $(x_2,y_2)$
We have the point-slope formula:
$y-y_1=m(x-x_1)$
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-4}{9-(-9)}=\frac{1}{9}$
Plug in the values:
$y-y_1=m(x-x_1)$
$y-4=\frac{1}{9}(x-(-9))$
$y=\frac{1}{9}x+5$
The slope is $\frac{1}{9}$
The y-intercept is $5$
