Question

Select the equation of the line that passes through the point (2, –1) and has slope 3 in point-slope form.

A.
(y – 1) = 3(x + 2)

B.
(y + 1) = 3(x – 2)

C.
(x + 2) = 3(y – 1)

D.
(x – 2) = 3(y + 1)

Answer 1

y = mx + b
Plug in (2, -1) and m = 3

-1 = 3(2) + b
-7 = b

y = 3x - 7

So looking at the multiple choices:
A. (y – 1) = 3(x + 2) is the same as y = 3x + 7
B. (y + 1) = 3(x – 2) is the same as y = 3x - 7

So B is the answer.

Answer 2

thank you!