Question

Which of the following is an equation of the line, in point-slope form, that passes through the points (-3,-1) and (6,8)?

Ο Α.
y - 8 = 3(3+6)
ОВ.
O C.
y + 8 = 3(1 - 6)
y + 8 = 3(1 - 6)
y - 8 = "3(+ 6)
O D.

Answer 1

D.

Explanation:

in order to choose the correct answer, it is enough to substitute the given coordinates [(-3;-1) and (-6;8)] into the equations:

A. -1-8=3(-3+6); ⇔ -9≠9; wrong

B. -1+8=-3(-3+6); ⇔ 7≠-9; wrong

C. -1+8=3(-3-6); ⇔ 7≠-27; wrong

D. (-3;-1): -1-8=-3(-3+6); ⇔ -9=-9

(-6;8): 8-8=-3(-6+6); ⇔ 0=0 - correct.

Note, the suggested way is not the only one.

PS. the given points are (-3;-1) and (-6;8).