Mathematics: 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

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Line ab contains (0, 4) and (1, 6) line cd contains

gonzalesalexiaouv1bg

04.01.2022

Answer

Option (A) is correct .

Reason

The formula for the slope.

$Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As given

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

put in the slope formula

$Slope = \frac{6 - 4}{1 - 0}$

$Slope = \frac{2}{1}$

Slope of the AB is 2.

As given

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

put in the slope formula

$Slope = \frac{4 - 10}{-1 -2}$

$Slope = \frac{-6}{-3}$

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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