Problem

Given the equations of two lines, y=2x+3 and y=mx+4, find the value of m that will make the two lines perpendicular.

Answer

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Answer

Solving the above equation for m, we get m=1/2.

Steps

Step 1 :The slope of a line given by the equation y=mx+c is m. So, the slope of the first line is 2.

Step 2 :If two lines are perpendicular, the product of their slopes is 1. Therefore, m2=1.

Step 3 :Solving the above equation for m, we get m=1/2.

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