Answer
$y = \frac34x +6$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
The $x$-intercept is $-8$ and the $y$-intecept is $6$
To find the equation of the line we must find the slope: $m = \frac{y_2 -y_1}{x_2 - x_1}$
and then use point slope form: $y−y_1=m(x−x_1)$
It may not be obvious at first, but the intercepts given are actually the points: $(-8,0)$ and $(0,6)$
$m =\frac{6-0}{0-(-8)} = \frac{6}{8} = \frac34$
$y - 6=\frac34x$
$y= \frac34x +6$
or
$y = mx + b$
$m = \frac34$
$b = 6$
$y = \frac34x +6$
