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- saucvi

Choose the equation below that represents the line passing through the point (2, -4) with a slope of one half.

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- saucvi

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- saucvi

A. y=1/2x+5
B. y=1/2x-3
C. y=1/2x-5
D. =1/2x+3

- Vocaloid

point-slope form:
y - y1 = m(x-x1)
plug in slope (1/2) for m, 2 for x1, and -4 for y1, then re-arrange and solve

- saucvi

How do I plug in slope? I understand none of this ): @Vocaloid

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- Vocaloid

replace m with 1/2
replace x1 with 2
replace y1 iwth -4

- saucvi

@Vocaloid Is it y=1/2x-3

- Vocaloid

no, can you show me how you arrived at that answer?

- saucvi

I plugged in the numbers and got y-(-4) = 1/2(x-2). Explaining it now I realize I don't even know how I got my answer. I think I rearranged wrong and miscalculated somewhere

- saucvi

- Vocaloid

yes, your plugging in is right but you may have made a mistake in the rearranging
y-(-4) = 1/2(x-2)
y+ 4 = 1/2(x) - 1
y = (1/2)x - 5

- saucvi

Why did -4 become positive and where did the -1 come from? @vocaloid

- Vocaloid

4 becomes positive because y-(-4) = y + 4 (remember that two negative signs together become positive)
1/2(x-2) = 1/2(x) - 1 because you distribute the 1/2
1/2(x-2) = (1/2)(x) - (1/2)(2) = (1/2)x - 1

- saucvi

Ohh okay. Thank you so much!

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