Question

Write equations to fit each of the following: A. Two equations whose graphs would be parallel to one another. B. Two equations whose graphs would be perpendicular to one another.

Answer 1

A) For equations to be parallel, they must have the same slope, which is m in the equations y=mx+b. So if we make m equal to 1, two equations are y=x+5 and y=x-1.

B) For equations to be perpendicular, they must have negative reciprocal slopes. So if one equation has a slope of 2, the other would have the slope of -1/2. So two equations are y=2x-1 and y=-1/2x.

Hope this helps