Answer:
<em>Slope - intercept form y = 5x+17</em>
<em>The equation of the parallel line to the given line is 5x-y +17=0</em>
Step-by-step explanation:
<u><em>Explanation</em></u>
The equation of the straight line is y= 5x+2
5x - y +2=0
The equation of the straight line is 5x-y+2=0
Given that the point(-3,2)
The equation of the parallel line to the given line is
5x -y +k=0
5(-3) - 2+k=0
-15 -2 +k =0
-17 +k=0
k =17
The equation of the parallel line to the given line is 5x-y +17=0
<u><em>Final answer:-</em></u>
<em>Slope - intercept form y = mx+c</em>
<em>Slope - intercept form y = 5x+17</em>