Question

Which equation is graphed here?

y + 5 = -3/2(x - 4)

y - 5 = -2/3(x + 4)

y - 5 = -3/2(x + 4)

y - 4 = -3/2(x + 5)

Answer 1

You can find the slope of this line directly from the graph. The "run" from -2 to 0 is 2, and the "rise" (actually, a drop) from 4 to 1 is -3. Thus, the slope is -3/2.

Eliminate the 2nd answer possibility; its slope is wrong.

The point-slope form of the eq'n of a str line is

y-k = m(x-h) Compare this to the first answer possibility:
y + 5 = -3/2(x - 4). Recognize that k= -5 and h=4.
Check: does the point (4,-5) lie on the given line?
Yes. Thus, this is the correct formula.