Answer:
y=-\frac{2}{5}x+\frac{19}{5}y=−52x+519
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
y=mx+by=mx+b
Given
m=-\frac{2}{5}m=−52
Putting the value of slope in the equation
y=-\frac{2}{5}x+by=−52x+b
To find the value of b, putting the point (-3,5) in equation
\begin{gathered}5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}\end{gathered}5=−52(−3)+b5=56+b5−56+bb=525−6b=519
Putting the values of b and m
y=-\frac{2}{5}x+\frac{19}{5}y=−52x+519