Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

@vocaloid

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

Ohh okay. Thank you so much!