Question

Identify an equation in point-slope form for the line parallel to y = 1/2 x - 7 that

passes through (-3,-2).
O A. y-2 = 1/2 (x-3)
B. y + 2 = 2(x+3)
O C. y+3 -1/2(x+2)
O D. y +2 -1/2(x+3)

Answer 1

Answer: Choice D

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Step-by-step explanation:

The given equation is in slope intercept form y = mx+b

We see that m = 1/2 is the slope of y = (1/2)x-7

We'll use this slope along with the point (x1,y1) = (-3,-2) to get the following

`y - y_1 = m(x - x_1)\\\\y - (-2) = (1)/(2)(x - (-3))\\\\y + 2 = (1)/(2)(x+3)\\\\`

Which is why choice D is the answer.

Note: this final equation is in point slope form.