Answer
See below:
Work Step by Step
Step 1: Convert the inequality to an equation by replacing > by = sign.
\[y=\frac{3}{5}x\]
Step 2: Graph the equation using intercept form or slope-intercept form.
Make \[x=0\] to find the y-intercept
\[\begin{align}
& y=\frac{3}{5}x \\
& y=0
\end{align}\]
Make \[y=0\] to find x-intercept,
\[\begin{align}
& y=\frac{3}{5}x \\
& x=0
\end{align}\]
So, the line passes through \[\left( 0,0 \right)\]. The line is dashed since the inequality contains > symbol.
Step 3: Find another point passing through the line,
When \[x=5\], \[y=3\]
The equation of the line is\[y>\frac{3}{5}x\], half-plane is shaded above the line
