Question 653290
When you're given a slope and a point, it's best to use the point-slope form of the equation. "The" equation means the linear (straight line) equation. The point slope form is:
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y = y1 = m(x - x1). 
((side note: this is actually the slope formula, just rearranged.)) 
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But you have to be a detective on this problem!  Slope is not told to you directly, we have to find it.  Parallel lines have the SAME slope!  In the equation they give you, y = 4x - 7, the slope is 4!  So the slope you will use is 4.
So, 
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slope (m) = 4
 point (2, 5) 
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y - y1 = m(x - x1)
(the y and the x always stay as y and x in this form)
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Plug in what your teacher gave you. y1 = 5 and x1 = 2 (from (2, 5)), and slope (m) = 4
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 y - 5 = 4(x - 2) 
y - 5 = 4x - 8  (distributed the 4)
y = 4x - 3 (added 5 to both sides)