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Finger [1]
3 years ago
5

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

Mathematics
1 answer:
NARA [144]3 years ago
8 0

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have the line y = 2x - 5.

The parallel lines have the same slope. Therefore we have y = 2x + b.

Put the coordinates of the point B(8, 6) to the equation:

6 = 2(8) + b

6 = 16 + b     <em>subtract 16 from both sides</em>

-10 = b → b = -10

The equation of a line: y = 2x - 10.

Put the coordinates of the point A(n, 4) to the equation:

4 = 2(n) - 10     <em>add 10 to both sides</em>

14 = 2n     <em>divide both sides by 2</em>

<h3>7 = n → n = 7</h3>
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