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