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ira [324]
3 years ago
15

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

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

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

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