Question

For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)

A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8

Answer 1

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

Explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, 6) with x- coordinate 8, thus

x = 8 is the equation of the vertical line

In comparison to

Ax + By = C, then

A = 1, B = 0, C = 8, that is

x + 0 = 8

x = 8 being the required equation