SOLUTION: Write an equation of the line that is parallel to y=5x+4 and passes through the point -4,3.

Question 807073: Write an equation of the line that is parallel to y=5x+4 and passes through the point -4,3.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
Parallel lines have equal slope.
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Given the line L1 in slope-intercept form: y = 5x + 4
its slope is: 5
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To find a line L2 parallel L1, and passing through the point p2 = (-4, 3),
use the point-slope form: y - y1 = m(x - x1)
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y - 3 = 5(x - -4)
y - 3 = 5x + 20
y = 5x + 20 + 3
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Answer, an equation for line L2 is:
y = 5x + 23
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Check the work by plugging-in point p2 into the equation:
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3 = 5(-4) + 23
3 = -20 + 23
3 = 3
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