Answer
$y=\dfrac{3}{4}x+6$ or, in general form, $3x-4y+24=0$
Work Step by Step
$x$-intercept $-8;$ $y$-intercept $6$
Use the slope-intercept form of the equation of a line, which is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept of the line.
The intercepts of the line are given and these are obviously points through which the line passes. These points are $(-8,0)$ and $(0,6)$.
Use them to find the slope of the line:
$m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}=\dfrac{6-0}{0-(-8)}=\dfrac{6}{8}=\dfrac{3}{4}$
Substitute $m$ and the $y$-intercept into the formula to obtain the equation of this line:
$y=mx+b$
$y=\dfrac{3}{4}x+6$ or, in general form, $3x-4y+24=0$
