Question

for the graph on the right, determine if the slope is positive, negative, zero, or undefined. choose the correct slope a. positive b. zero c. negative d. undefined

Explanation:

Step1: Recall slope - definition

The slope $m$ of a line is given by $m=\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$ for two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line.

Step2: Analyze the given horizontal line

For a horizontal line, the $y$ - values of all points on the line are the same. Let two points on the line be $(x_1,y)$ and $(x_2,y)$. Then $m=\frac{y - y}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0$ (assuming $x_1
eq x_2$).

Answer:

B. Zero