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Question 811357: find an equation of the line through (1,8) and parallel to y=4x+2 write the equation using function notattion
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! parallel lines have equal slope:
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y = 4x + 2
first line has slope (m) = 4
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second line contains the point (1,8) and its slope (m) is also 4:
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use the point-slope form of the second line:
y - y1 = m(x - x1)
y - 8 = 4(x - 1)
y - 8 = 4x - 4
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y = 4x + 4
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result:
f(x) = 4x + 4
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check the answer:
x1 y1 m = 1 8 4
plug x1 y1 m into: https://sooeet.com/math/linear-equation-solver.php
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again we see:
slope (m) = 4
y-intercept = 4
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same result:
f(x) = 4x + 4
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