Question

each graph below has a different slope. match a graph to their slope. a. positive b. negative c. zero d. undefined (-2,0) (2,3) (1,3) (-2,5) (3,3) (-1,3) (1,-2) (2,0)

Explanation:

Step1: Recall slope formula

$m=\frac{y_2 - y_1}{x_2 - x_1}$

Step2: Analyze first graph

Two points $(-2,0)$ and $(2,3)$. $m=\frac{3 - 0}{2-(-2)}=\frac{3}{4}>0$, so positive.

Step3: Analyze second graph

Two points $(1,3)$ and $(1, - 2)$. $m=\frac{-2 - 3}{1 - 1}$, denominator is 0, so undefined.

Step4: Analyze third graph

Two points $(-2,5)$ and $(2,0)$. $m=\frac{0 - 5}{2-(-2)}=-\frac{5}{4}<0$, so negative.

Step5: Analyze fourth graph

Two points $(-1,3)$ and $(3,3)$. $m=\frac{3 - 3}{3-(-1)} = 0$, so zero.

Answer:

a. First graph
b. Third graph
c. Fourth graph
d. Second graph