Answer
Refer to the graph below.
Work Step by Step
Recall:
The line $y=m x+b$ has a slope of $m$ and a $y$-intercept of $(0, b)$.
Thus, the given line has $(0, -10)$ as $y$-intercept.
Find the $x$-intercept by setting $y=0$ then solving for $x$ to obtain:
\begin{align*}
\require{cancel}
y&=\frac{4}{5}x-10\\
0&=\frac{4}{5}x-10\\
10&=\frac{4}{5}x\\
\frac{5}{4} \cdot 10 &= \frac{4}{5}x \cdot \frac{5}{4}\\
\frac{5}{\cancel{4}^2} \cdot \cancel{10}^5 &= \cancel{\frac{4}{5}}x \cdot \cancel{\frac{5}{4}}\\
12.5&=x
\end{align*}
Thus, the $x$-intercept is at $(12.5, 0)$.
Plot the $x$ and $y$-intercepts; then connect them using a straight line. Refer to the graph above.
