SOLUTION: Find the equation of a line passes through the point (-8,4) and is perpendicular to the line y =-3x + 2

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Question 285535: Find the equation of a line passes through the point (-8,4) and is perpendicular to the line y =-3x + 2
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-8,4) and is perpendicular to the line
y=-3x+2 (red line)
This line has a slope=-3.
A perpendicular line will have a slope=1/3.
Y=mX+b is the standard line equation where m=slope & b=the Y intercept.
4=1/3*-8+b
4=-8/3+b
b=4+8/3
b=(12+8)/3
b=20/3 the Y intercept.
Y=x/3+20/3 (green line)
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-3x+%2B2%2C+x%2F3+%2B20%2F3%29+ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -3x +2 and x/3 +20/3).