15. Write an equation of a line in standard form that: 2x + 5 passes through the point (1, 5) and is parallel to y=2x+5

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Mathematics Lệ Thu 4 years 2021-08-07T17:59:23+00:00 2021-08-07T17:59:23+00:00 1 Answers 6 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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quangkhai · Answer 1 · 2021-08-07T18:00:46+00:00

quangkhai

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2021-08-07T18:00:46+00:00 August 7, 2021 at 6:00 pm

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Answer:

$y = 2x +3$

Step-by-step explanation:

Given

Parallel: $y = 2x + 5$

Passes through (1,5)

Required

Determine the equation

Because it is a parallel to $y = 2x + 5$ then they have the slope.

The slope of $y = 2x + 5$ is 2 i.e. from $y = mx + b$

So:

$m = 2$

The line equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 2(x - 1) + 5$

$y = 2x - 2 + 5$

$y = 2x +3$