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Which equation in point-slope form contains the point (2, 3) and has slope 2?


a. y + 2 = 2(x + 3)


b. y – 3 = 2(x – 2)


c. y – 2 = 2(x – 3)


d. y + 3 = 2(x + 2)

Respuesta :

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Option A
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Check if slope = 2
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y + 2 = 2(x + 3)
y + 1 = 2x + 6
y = 2x + 6 - 1
y = 2x + 5

Slope = 2 

Answer:  Yes, Slope is 2

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Check if it passed through (2, 3)
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When x = 2
y = 2(2) + 5
y = 9

Answer: No, it does not passed through (2, 3)

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Option B
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Check if Slope is 2
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y - 3 = 2(x - 2)
y - 3 = 2x  - 4
y = 2x - 4 + 3
y = 2x - 1
Slope = 2

Ans : Yes, slope is 2.

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Check if it passed through (2, 3)
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when x = 2
y = 2(2) - 1
y = 4 - 1
y = 3

Answer : Yes, it passed through (2, 3)

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Answer: (B) y – 3 = 2(x – 2)
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