#### Answer

the slope is $2.9$ and the $y$-intercept is $75$

#### Work Step by Step

Using $y=mx+b$ or the Slope-Intercept Form of linear equations where $m$ is the slope and $b$ is the $y$-intercept, the given equation, $
29x-10y=-750
,$ is equivalent to
\begin{array}{l}\require{cancel}
-10y=-29x-750
\\
y=\dfrac{-29x}{-10}-\dfrac{750}{-10}
\\
y=2.9x+75
.\end{array}
Hence, $\text{
the slope is $2.9$ and the $y$-intercept is $75$
}.$