michaelnava098 michaelnava098

14-10-2020
Mathematics

contestada

A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?

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LammettHash LammettHash

14-10-2020

The slope of y = 2x - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points A and B is also 2. This means

(8 - 4) / (6 - n) = 2

Solve for n :

4 / (6 - n) = 2

4/2 = 6 - n

2 = 6 - n

n = 6 - 2

n = 4

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