SOLUTION: Write the slope intercept equation of the line perpendicular to y= 5x + 1 and goes through the point 5, -3

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Question 1107474: Write the slope intercept equation of the line perpendicular to y= 5x + 1 and goes through the point 5, -3
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Slope intercept form for a line is:
y = mx + b
—
Also., if two lines are perpendicular, their slopes m%5B1%5D and m%5B2%5D are related by:
m%5B1%5D+=+-1%2Fm%5B2%5D+
(that is, they are negative reciprocals of each other)

The given line has slope +m%5B1%5D+=+5+
So the line you want to find has slope +m%5B2%5D+=+-1%2F5+
The equation of that line can now be written
y = (-1/5)x + b
We need to find b. You can find b by using the fact that the line passes through (5,-3)
-3 = (-1/5)(5) + b
Solve for b and you have the complete equation for the line.