the graph of a linear function is shown. which word describes the slope of the line? positive negative zero…

Explanation:

Step1: Recall slope concept

The slope of a line $m=\frac{y_2 - y_1}{x_2 - x_1}$. A positive - sloped line rises from left to right, a negative - sloped line falls from left to right, a zero - sloped line is horizontal, and an undefined slope occurs for a vertical line.

Step2: Observe the line

Looking at the graph of the linear function, the line is horizontal.

Step3: Determine the slope type

For a horizontal line, for any two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line, $y_1=y_2$. So, $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0$.

Answer:

zero