How do you write an equation for the line that is parallel to $y=2x+7$ and passes through $(3,11)$ ?

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Answer 1 · 2016-08-05T17:35:47

$y = 2x + 5$

Parallel lines have the same slope. This means our line has a slope of 2.

Using the general form for the equation of a line we have:

$y - b = m(x-a)$

$y - 11 = 2(x - 3)$

$y = 2x + 5$

How do you write an equation for the line that is parallel to y=2x+7y=2x+7 and passes through (3,11)(3,11)?