SOLUTION: Write the equation for the line (in y=mx + b form) that is perpindicular to the line with equation y= -4/3x -4 that passes through the point (-5,6)

Question 1087474: Write the equation for the line (in y=mx + b form) that is perpindicular to the line with equation y= -4/3x -4 that passes through the point (-5,6)
Found 2 solutions by MathLover1, Boreal:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

if the line that is perpendicular to the line with equation
and this line has a slope , then perpendicular line will have a slope
so far your equation is:
....now use given point (,) to find

and,your equation is:

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the slopes of perpendicular lines have a negative reciprocal product, or -1.
the slope of the other line is 3/4
y-y1=m(x-x1), m slope, (x1,y1) point
(y-6)=(3/4)(x+5)
y=(3/4)x+(39/4)

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