Question

Which is the equation of a line that has the same slope as y=2x+3 and passes through the point (4,0)?

A. y=2x-8
B. y=2x
C. y=2x+4
D. y=4x+3

Answer 1

A. y=2x-8

Explanation:

Answer 2

Given y = 2x + 3
Slope = 2

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Option A :
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y = 2x - 8
Slope = 2

When x = 4,
y = 2(4) - 8 = 0
Coordinate (4 , 0)

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Option B :
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y = 2x
Slope = 2

When x = 4,
y = 2(4) = 8
Coordinate (4, 8)

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Option C :
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y = 2x + 4
Slope = 2

When x = 4,
y = 2(4) + 4 = 12
Coordinate = (4, 12)

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Option D :
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y = 4x + 3
Slope = 4

When x = 4,
y = 4(4) + 3 = 19
Coordinate = (4, 19)

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Answer: Option A
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