Question

what type of slope does the graph have? positive zero undefined negative

Explanation:

Step1: Recall slope - concept

Slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. A positive slope means the line rises from left to right, a negative slope means the line falls from left to right, a zero - slope is a horizontal line ($y_2=y_1$, so $m = 0$), and an undefined slope is a vertical line ($x_2=x_1$, denominator of slope formula is 0).

Step2: Analyze the graph

If we assume two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line of the graph. If the line is rising as we move from left to right on the coordinate plane, for two points $(x_1,y_1)$ and $(x_2,y_2)$ with $x_2>x_1$, we have $y_2 > y_1$. Then $m=\frac{y_2 - y_1}{x_2 - x_1}>0$.

Answer:

Positive