Question

Choose the line that is parallel to the line that contains the points (6, 12) and (9, 8).

A. 4x + 3y = 9
B. 4x - 3y = 6
C. -4x + 3y = 12
D. None of the above

Answer 1

The line 4x + 3y = 9 is parallel to the line that contains the points (6,12) and (9,8).

Step-by-step explanation:

The line that contains the points (6,12) and (9,8) has a slope of (8-12)/(9-6) = -4/3.

A line is parallel to another line if and only if it has the same slope.

From the given options, only option A has a slope of -4/3, so the line 4x + 3y = 9 is parallel to the line that contains the points (6,12) and (9,8).