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andreyandreev [35.5K]
3 years ago
6

Find the equation of the line passing through (2,-1) and parallel to the line 2x-y=4

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
6 0

Answer:

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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