Find an equation in slope intercept form for the line through point p(-3, 2) and perpendicular to the line
containing the two points (2, 3) and (1, -2).

y=-1/5 x +7/5

Step-by-step explanation:

First lets find the slope for line containing the two points (2,3) and (1,2)

m=5

Two lines are perpendicular between each other if m1*m2=-1

we have one slope m1=5, we obtain m2= -1/5

Next we need to eval the equation for lines y=mx+b, where m= -1/5 using the point P(-3,2)

2=-1/5 * -3 +b

From that we obtain that b= 2-3/5=7/5

So the equation for the desired line is:

y=-1/5 x +7/5