SOLUTION: Write an equation of the line that passes through (-5, -1) and is parallel to the line y = 4x-6.

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Question 1168881: Write an equation of the line that passes through (-5, -1) and is parallel to the line y = 4x-6.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
If two lines are parallel, they will have the same gradient (slope)
So, gradient (slope) = 4 (from equation y = 4x - 6)
Using the formula y - b = m(x - a) and coords (-5, -1)
y - (-1) = 4(x - (-5)) = y + 1 = 4(x + 5) = y = 4x + 20 - 1
Equation is y = 4x + 19.
Hope this helps :-)