SOLUTION: Determine the linear function whose graph is a line that is perpendicular to the line g(x)= 5x-3 and contains the point (7,4)

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Question 161825: Determine the linear function whose graph is a line that is perpendicular to the line g(x)= 5x-3 and contains the point (7,4)
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular to g(x)= 5x-3 (red line) and contains the point (7,4).
A line perpendicular to this line has a slope=-1/5.
Y=mX+b
4=-1/5*7+b
4=-7/5+b
b=4+7/5
b=(20+7)/5
b=27/5 for the y intercept.
y=-x/5+27/5 (green line).
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+5x+-3%2C+-x%2F5+%2B27%2F5%29+ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 5x -3 and -x/5 +27/5).