Find the equation for the line that passes through the points (8,-1) and (-9,4). Give your answer in point-slope form. You do not need to simplify.
The point-slope form of a linear equation is given by $y - y_1 = m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is its slope. We can find the slope of the line passing through the points $(8,-1)$ and $(-9,4)$ by using the slope formula: \begin{align*}
m &= \frac{y_2 - y_1}{x_2 - x_1} \\
&= \frac{4 - (-1)}{-9 - 8} \\
&= \frac{5}{-17}.
\end{align*} Thus, the equation of the line is $y - (-1) = \frac{5}{-17}(x - 8)$.