Question

A ball is thrown straight up into the air, 8 ft to a right of a house, which is represented by the origin on the coordinate plane. For which values of A, B, and C will Ax + By = C represent the line that includes the path of the ball, where x is the horizontal distance and y is the vertical distance, in feet, from the house?

A =
, B =
, C =

Answer 1

The ball moves along the vertical line x = 8. Writing this as Ax + By = C gives 1·x + 0·y = 8.

So A = 1, B = 0, C = 8.