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solniwko [45]
3 years ago
11

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?​

Mathematics
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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Answer:

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Step-by-step explanation:

The equation of any line in slope-intercept form is:

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Being m the slope and b the y-intercept.

Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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Solving:

b = 1

The equation of the line is:

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