6. for which values of a, b, and c will ax + by = c be a vertical line through the point (8, 6)?\na a = 1, b…

6. for which values of a, b, and c will ax + by = c be a vertical line through the point (8, 6)?\na a = 1, b = 0, c = 6\nb a = 1, b = 0, c = 8\nc a = 0, b = 1, c = 6\nd a = 0, b = 1, c = 8

6. for which values of a, b, and c will ax + by = c be a vertical line through the point (8, 6)?\na a = 1, b = 0, c = 6\nb a = 1, b = 0, c = 8\nc a = 0, b = 1, c = 6\nd a = 0, b = 1, c = 8

Answer

Explanation:

Step1: Recall the form of a vertical line

A vertical line has the form (x = k) (where (k) is a constant). In the general form (Ax+By = C), for it to be a vertical line, the coefficient of (y) ((B)) must be (0). So (B = 0). Then the equation becomes (Ax=C) or (x=\frac{C}{A}).

Step2: Substitute the point ((8,6)) into the equation

Since the line passes through the point ((x = 8,y = 6)) and (B = 0), substituting (x = 8) into (Ax=C). If (A = 1), then (x=\frac{C}{A}) becomes (x = C).

Answer:

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