Question

For which values of A, B, and C will Ax + By = C be a vertical line through the point (-4, 2)

Answer 1

A vertical line has an equation of the form x = k, where k is a constant. Since you want the line to pass through the point (-4, 2), the equation should be x = -4. So, A should be 1, B should be 0, and C should be -4. Therefore, the values are:

A = 1

B = 0

C = -4

So, the equation Ax + By = C becomes:

1x + 0y = -4

Which simplifies to:

x = -4

This is the equation of a vertical line passing through the point (-4, 2).