Question

Select the three equations that pass through the points (-4,-16) and (5, 2):

y + 4 = 2(x – 16)

y-2 = 2(x - 5)

y = 2x – 8

y + 16 = 2(x + 4)

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Answer 1

It's B,C,D

Explanation:

I got it right on edge

Answer 2

see below

Explanation:

All of the offered answer choices agree that the line through the two points has a slope of 2.

Using the point-slope form of the equation for a line, we can write an equation for each of the given points:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

Using point (-4, -16) in this equation form gives ...

y +16 = 2(x +4) . . . . . matches the last choice

Using point (5, 2) in this equation form gives ...

y -2 = 2(x -5) . . . . . . matches the second choice

Simplifying either equation to slope-intercept form gives ...

y = 2x -10 +2

y = 2x -8 . . . . . . . . . matches the third choice