Answer
graph of $y=-7.5x+11$:
Work Step by Step
The $x$-intercept is the value of $x$ when $y=0.$ Setting $y=0$ in the given equation, $
y=-7.5x+11
,$ results to
\begin{align*}
0&=-7.5x+11
\\
0-11&=-7.5x+11-11
\\
-11&=-7.5x
\\\\
\dfrac{-11}{-7.5}&=\dfrac{-7.5x}{-7.5}
\\\\
1.4\overline{6}&=x
.\end{align*}
Hence, the $x$-intercept is $(
1.4\overline{6},0
)$.
The $y$-intercept is the value of $y$ when $x=0.$ Setting $x=0$ in the given equation results to
\begin{align*}
y&=-7.5(0)+11
\\
y&=0+11
\\
y&=11
.\end{align*}
Hence, the $y$-intercept is $(
0,11
)$.
By connecting the two intercepts, the graph of the given line is determined.