Question

Find the equation of a line which is perpendicular to y = 1/2x - 5 and goes throught the point (0, 0). Write your answer in the form y=mx+c.

Answer 1

Answer: y = -2x

Explanation:

For a line to be perpendicular to another, it must have the opposite reciprocal slope. In this case, that means 1/2 becomes -2/1 or -2. For the line to pass through 0,0 the y intercept must be 0. Thus the line is y = -2x + 0, or y = -2x