fz5zfyr9g8 fz5zfyr9g8

03-03-2022
Mathematics

contestada

The line that passes through the points (-6, p) and (-10, 2) has a slope of -1/6. What is the value of p?

Respuesta :

jimthompson5910 jimthompson5910

03-03-2022

Answer: 4/3

Work Shown:

Slope = rise/run

Slope = (change in y)/(change in x)

Slope = (2-p)/(-10-(-6))

Slope = (2-p)/(-10+6)

Slope = (2-p)/(-4)

Set this equal to the stated slope -1/6 and solve for p

(2-p)/(-4) = -1/6

6(2-p) = -4(-1)

12-6p = 4

-6p = 4-12

-6p = -8

p = -8/(-6)

p = 4/3

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