#### Answer

$y=\dfrac{3}{4}x+6$

#### Work Step by Step

RECALL:
(1) The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b = y-intercept.
(2) The slope of a line can be found using the formula $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are points on the line.
The x-intercept is $-8$ so the point $(-8, 0)$ is on the line.
The y-intercept is $6$, so $b=6$.
Thus, the tentative equation of the line is:
$y=mx+6$
To find the value of $b$, substitute the x and y coordinates of the point $(-8, 0)$ into the tentative equation above to obtain:
$y=mx+6
\\0=m(-8)+6
\\0=-8m+6
\\0+8m=6
\\8m=6
\\\dfrac{8m}{8}=\dfrac{6}{8}
\\m=\dfrac{3}{4}$
Therefore, the equation of the line is:
$y=\dfrac{3}{4}x+6$