Answer
Option (A) is correct .
Reason
The formula for the slope.
[tex]Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
As given
Line AB contains (0, 4) and (1, 6) .
put in the slope formula
[tex]Slope = \frac{6 - 4}{1 - 0}[/tex]
[tex]Slope = \frac{2}{1}[/tex]
Slope of the AB is 2.
As given
Line CD contains points (2, 10) and (−1, 4).
put in the slope formula
[tex]Slope = \frac{4 - 10}{-1 -2}[/tex]
[tex]Slope = \frac{-6}{-3}[/tex]
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.
Answer:
A) parallel because the slopes are the same
Step-by-step explanation:
