Question

Which of the following are point-slope equations of the line going through (-5, 6) and (1, 1)? Check all that apply, because there's more than one answer .
A.y - 1 = -6/5 (x - 1)
B.y - 6 = -6/5 (x + 5)
C.y + 1 = 5/6 (x - 1)
D.y + 6 = -6/5 (x - 5)
E.y - 6 = -5/6 (x + 5)
F.y - 1 = -5/6 (x - 1)

Answer 1

First thing you need to do is find the slope of a line through those points.

\[m=\frac{y_2-y_1}{x_2-x_1}\]will give you the slope.

After you have the slope, remember that the point-slope equation for a line through a known point \((x_0,y_0)\) is
\[y-y_0 = m(x-x_0)\]

Armed with that, you should be able to quickly decide which equations meet the constraints.

Answer 2

Note that you want to write out an equation for each of the two points you know...

Answer 3

m = (6-1)/(-5-1) = ?

Answer 4

0.06 @Directrix

Answer 5

m = 5/(-6) Check and see.