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what is the equation of a line that goes the point (4,2) and is parallel to the line by the given equation Y=2x+2

User Cheruvian
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Given: (x1, y1) = (4, 2) and Parallel to y = 2x + 2

y=mx+c -> m is known as the gradient which in this case is 2

As the line is parallel to y = 2x + 2, it will also have a slope of 2.
The point-slope formula states (y − y1) = m (x − x1)
Substituting the values of m = 2 and (x1, y1) = (4, 2) in the above equation we get,
⇒ (y - 2) = 2(x - 4)
⇒ y - 2 = 2x - 8
⇒ y = 2x - 6

I hope this is right
User Gregmac
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