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1.- Find the slope of the perpendicular line
P1 = (0, -1)
P2 = (3, -3)
slope = (y2 - y1) / (x2 - x1)
slope = (-3 + 1) / (3 - 0)
slope = -2/3
2.- Find the slope of the perpendicular line
slope = 3/2
3.- Find the equation of the line
Point = (-3 , 2)
y - y1 = m(x - x1)
y - 2 = 3/2( x + 3)
y - 2 = 3/2x + 9/2
y = 3/2x + 9/2 + 2
y = 3/2x + 13/2
[tex]\text{The answer is y = }\frac{3}{2}x\text{ + }\frac{13}{2}[/tex]
