Question

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.

Answer 1

Neither

Explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

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Answer 2

AB and CD are parallel

Explanation:

• AB has the slope of -2/5

let's see what slope the line CD has:

• points are (-5, 3) and (10, -3)

• slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5

as we see AB and CD have same slope, therefore they are parallel