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Mathematics, 22.06.2019 21:00 garyyunga2002

What is the equation of a line passing through (2, -1) and parallel to the line represented by the equation y = 2x + 1

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Answer from: abbz13
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What is the equation of a line passing through (2, -1) and parallel to the line represented by the e
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Answer from: EbonyMontricee

y=2x-5

Step-by-step explanation:

Two parallel lines do not cross and therefore have the same slope. For the line y=2x+1, the slope is 2. Substitute 2 and the point (2,-1) into the formula

y-y_1=m(x-x_1)

y--1=2(x-2)\\y+1=2(x-2)\\y+1=2x-4\\y=2x-5

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Answer from: rebeccamckellpidge

y = 2x - 5

Step-by-step explanation:

The equation has to have the same slope -- in this case, it is 2 -- to be parallel to 2x - y = 4.

Now we have y = 2x - k.

Then, we plug in the coordinates to our new equation to solve for k.

-1 = 2(2)-k

-1 = 4-k

k = 5

So the final equation would be y = 2x - 5

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