Question

Determine if jk and lm are parallel, perpendicular, or neither j(1,9),k(7,4),l(8,13),m(-2,1)

Answer 1

Answer:

"perpendicular"

Step-by-step explanation:

We need to find slope (m) of both line JK and LM

Slope has formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Lets find slope of JK:

$m=\frac{4-9}{7-1}\\m=-\frac{5}{6}$

Lets find slope of LM:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{1-13}{-2-8}\\m=\frac{6}{5}$

we know if we multiply two lines' slope and get -1, they are perpendicular. Let's check:

$-\frac{5}{6}*\frac{6}{5}=-1$

Hence, they are perpendicular