Write an equation of the line that passed through the given point and is (a) parallel and (b) perpendicular to the given line.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.