Question

determine the relationship of the line through points a(-6, 2) and b(-2, 4) and the line through points c(-1, 11) and d(5, -7). the lines are because they have the same slope. they have opposite reciprocal slopes. their slopes arent the same or opppsite reciprocals.

Explanation:

Step1: Calculate slope of line AB

$m_{AB}=\frac{4 - 2}{-2-(-6)}=\frac{2}{4}=\frac{1}{2}$

Step2: Calculate slope of line CD

$m_{CD}=\frac{-7 - 11}{5-(-1)}=\frac{-18}{6}=- 3$

Step3: Analyze relationship

Slopes aren't same or opposite - reciprocals.

Answer:

their slopes aren't the same or opposite reciprocals.