Question

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.

Answer 1

y = 4x - 28 is the equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2. 

Answer 2

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Find Slope :
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y = 4x + 2
Slope = 4
Slope of the Parallel line = 4

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Substitute slope = 4 :
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y = mx + b 
y = 4x +b

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Find y-intercept :
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y = 4x + b 
At point (8, 4), x = 8 when y = 4
4 = 4(8) + b
4 + 32 + b
b = 4 - 32
b = -28

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Substitute y-intercept into the equation :
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y = 4x - 28

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Answer : y = 4x - 28 (Answer A)
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