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3 years ago

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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?

1 answer:

Lady_Fox [76]3 years ago

4 0

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

(8 - 4) / (6 - <em>n</em>) = 2

Solve for <em>n</em> :

4 / (6 - <em>n</em>) = 2

4/2 = 6 - <em>n</em>

2 = 6 - <em>n</em>

<em>n</em> = 6 - 2

<em>n</em> = 4

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