Which point on the x-axis lies on the line that passes through point c and is parallel to line ab?

a. (1, 0)
b. (1, 1)
c. (0, 2)
d. (2, 0)

Option D.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the coordinates of given points are A(-4,0), B(2,-3) and C(-2,2).

Slope of line AB is

The slope of two parallel lines are same.

So, the slope of required line is -1/2.

The point slope form of a line is

where, m is slope.

The equation of required line is

Substitute y=0 in the above equation to find the x-intercept of required line.

The x-intercept of required line is (2,0). Therefore, the correct option is D.

answer is 67%

step-by-step explanation: