Answer:
see below
Step-by-step 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
