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4vir4ik [10]
3 years ago
10

The equation through the point (-2, 5) and is parallel to the line with the equation y=2x+7

Mathematics
1 answer:
andrezito [222]3 years ago
8 0
If a line is parallel to y=2x+7 the line must have the same slope but different y- intercept. The equation y=2x+7 has a slope (m) of 2 and y- intercept of 7.

By using the point slope formula and the point (-2,5) we have:

y = m(x -x1) + y1 \\  \\ y = 2(x - ( - 2)) + 5 \\  \\ y = 2(x + 2) + 5 \\  \\ y = 2x + 4 + 5 \\  \\ y = 2x + 9
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