SOLUTION: If a graph is a line that is perpendicular to the line g(x) = 5x-2 and contains the point (6,3), determine the linear function.

Algebra ->  Linear-equations -> SOLUTION: If a graph is a line that is perpendicular to the line g(x) = 5x-2 and contains the point (6,3), determine the linear function.      Log On


   

Question 1023680: If a graph is a line that is perpendicular to the line g(x) = 5x-2 and contains the point (6,3), determine the linear function.
Found 2 solutions by FrankM, solver91311:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
perpendicular to 5x-2 means a slope of -1/5.
%28y-y%5B1%5D%29=m%28x-x%5B1%5D%29 is Point-Slope Form using -1/5 slope and point (6,3)

%28y-3%29=%28-1%2F5%29%28x-6%29

%28y-3%29=%28-1%2F5%29x%2B6%2F5

y=%28-1%2F5%29x%2B21%2F5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


1. Determine the slope of the given line, g(x)

2. Calculate the negative reciprocal of the slope from step 1.

3. Use the Point-Slope form of a with the negative reciprocal slope calculated in step 2 and the given point to write a linear function representing the graph of the desired line.

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

where x%5B1%5D and y%5B1%5D are the coordinates of the given point and m is the calculated slope.

John
+e%5E%28i%2Api%29+%2B+1+=+0
My calculator said it, I believe it, that settles it