Let m and c represent constants with m nonzero. What is the equation of the line perpendicular to y=m(x+c) and with the same y-intercept?

Explanation:

Given

Required

Determine an equation of a perpendicular line but with the same y intercept

Open bracket

A linear equation is represented with:

Where

By comparison:

So, the slope of is m

Because the new line is perpendicular to , the relationship between their slopes is:

Where

slope of the first equation

slope of the second equation

Substitute m for in

Hence, the slope of the new equation is:

From the question, we understand that they have the same y intercept.

So, the equation of the new equation is:

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