Question

y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch

Answer 1

I think it's (2,0).

Because u use the slope of line AB to go down from point C until one of the answers are met.

Answer 2

The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

Slope of Parallel Lines

• Two lines on a coordinate plane are parallel to each other if they have the same slope.
• Slope = change in y/change in x.

Slope of AB = -(3/6)

Slope of AB = -1/2

Slope of from point (2, 0) to point C(-2, 2):

Slope = (2 - 0)/(-2 - 2) = 2/-4

Slope = -1/2

Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).

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