CPM Homework Help : CC3 Problem 7-73

Ella and her study team are arguing about the slope of the line in the graph below. They have come up with four different answers: $\frac { 3 } { 4 }$ , $- \frac { 4 } { 3 }$ , $- \frac { 3 } { 4 }$ and $\frac { 4 } { 3 }$ . Which slope is correct? Justify your answer.

A decreasing line, going through the points, (negative 3, comma 3) and (5, comma negative 3).

Help:

Remember that the slope can be written as $\frac{\text{change in}\ y}{\text{change in}\ x}$ .

More Help 1:

On this line as the $x$ -value increases, does the $y$ -value decrease or increase?
Decreasing makes the slope negative.
Increasing makes the slope positive.

More Help 2:

Try answering this problem by going from the point $\left(−3, 3\right)$ to the point $\left(1, 0\right)$ .