Answer
$y=\dfrac{2}{7}x-\dfrac{8}{7}$
Work Step by Step
The slope-intercept form of a line's equation is:
$y=mx+b$
Solve for $y$:
$2x-7y=8
\\2x-7y-2x=8-2x
\\-7y=8-2x
\\-7y=-2x+8
\\\frac{-7y}{-7}=\frac{-2x+8}{-7}
\\y=\frac{2}{7}x-\frac{8}{7}$
