Question

Which graph has a slope of Two-thirds?
On a coordinate plane, a line goes through points (0, negative 1) and (2, 2).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, negative 1).
On a coordinate plane, a line goes through points (0, negative 1) and (3, 1).
On a coordinate plane, a line goes through points (negative 2, 2) and (0, negative 1).

Answer 1

Compute each slope m = (y2 - y1)/(x2 - x1):

1) (0, -1) to (2, 2): m = (2 - (-1))/(2 - 0) = 3/2
2) (-3, 1) to (0, -1): m = (-1 - 1)/(0 - (-3)) = -2/3
3) (0, -1) to (3, 1): m = (1 - (-1))/(3 - 0) = 2/3 ✓
4) (-2, 2) to (0, -1): m = (-1 - 2)/(0 - (-2)) = -3/2

So the third graph (through (0, -1) and (3, 1)) has slope 2/3.