Answer:
y=-1/5 x +7/5
Step-by-step explanation:
First lets find the slope of the line containing the points (2,3) and (1,-2) by using the equation for slopes m1 = (y2 - y1) / (x2 - x1),
Which results in m1=5
If two lines are perpendicular, then their slopes must satisfy the following condition
m1*m2=-1
So, our new line must have the following slope (m2): m2*m1=1, if m1=5, then m2=-1/5
The line passes through P(-3,2)
Remember that the equation for a line is given by the following:
y=mx+b
if we eval P inside that equation, with m=-1/5
we have b.
2=-1/5*-3 +b
b=2-3/5
