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SOVA2 [1]
2 years ago
12

Given two points M & N on the coordinate plane, find the slope of MN , and state the slope of the line perpendicular to MN .

(there's two questions)
1) M(9,6), N(1,4)

2) M(-2,2), N(4,-4)
Mathematics
1 answer:
telo118 [61]2 years ago
4 0

Answer:

Problem 1)       m = \dfrac{1}{4}     slope_{perpendicular} = -4

Problem 2)      m = \dfrac{1}{3}     slope_{perpendicular} = -3

Step-by-step explanation:

slope = m = \dfrac{y_2 - y_1}{x_2 - x_1}

slope_{perpendicular} = \dfrac{-1}{m}

Problem 1) M(9,6), N(1,4)

slope = m = \dfrac{6 - 4}{9 - 1} = \dfrac{2}{8} = \dfrac{1}{4}

slope_{perpendicular} = \dfrac{-1}{\frac{1}{4}} = -4

Problem 2) M(-2,2), N(4,-4)

slope = m = \dfrac{4 - 2}{4 - (-2)} = \dfrac{2}{6} = \dfrac{1}{3}

slope_{perpendicular} = \dfrac{-1}{\frac{1}{3}} = -3

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