Answer
$y+3x=21$
Work Step by Step
First, put $6x+2y=5$ into slope-intercept form.
$2y=-6x+5$
$y=-3x+\frac{5}{2}$
The slope is $-3$.
Substitute the ordered pair and the slope into point-slope form.
$y+3=-3(x-8)$
$y+3=-3x+24$
$y+3x=21$