Line ab contains (0, 4) and (1, 6) line cd contains points (2, 10) and (−1, 4). lines ab and cd are

a) parallel because the slopes are the same

b) perpendicular because the slopes are the same

c) parallel because the product of the slopes is −1

d) perpendicular because the product of the slopes is −1

Answer  

Option (A) is correct .

Reason

The formula for the slope.

As given

Line AB contains (0, 4) and (1, 6) .

put in the slope formula

Slope of the AB is 2.

As given

Line CD contains points (2, 10) and (−1, 4).

put in the slope formula

Slope = 2

Slope of the CD is 2.

As the slope of the  AB contains (0, 4) and (1, 6) Line CD contains points (2, 10) and (−1, 4) is 2 .

Therefore the option (A) is correct i.e the lines are parallel because the slopes are the same.

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