Question

Which graph has a slope of ?

A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes through points at (0, 1) and (4, 5).

A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5).

A coordinate plane with straight line. The line starts at (negative 5, negative 1) and passes through points at (negative 2, 0) and (3, 2).

A coordinate plane with straight line. The line starts at (negative 4, negative 5) and passes through points at (0, 0) and (4, 5).

Answer 1

The first graph. Using (0, 1) and (4, 5): slope = (5 − 1)/(4 − 0) = 4/4 = 1, and (−5, −4) to (0, 1) gives (1 − (−4))/(0 − (−5)) = 5/5 = 1.

(For reference: the fourth graph has slope 5/4, and the other two do not have slope 1.)