Answer
$y=\dfrac{10}{7}x-10$
Work Step by Step
Using $y=mx+b$ or the slope-intercept form of linear equations, the given equation, $
10x-7y=70
,$ is equivalent to
\begin{array}{l}\require{cancel}
-7y=-10x+70
\\\\
y=\dfrac{-10}{-7}x+\dfrac{70}{-7}
\\\\
y=\dfrac{10}{7}x-10
.\end{array}