Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determine the relationship of the line through points a(-6, 2) and b(-2…

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 their slopes parallel perpendicular neither parallel or perpendicular

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: Check relationship

Since $\frac{1}{2}
eq - 3$ and $\frac{1}{2}\times(-3)
eq - 1$

Answer:

neither parallel or perpendicular