Question

5-1 lesson quiz (lms graded)
which line has a slope of \\(\frac{3}{2}\\) ?

Explanation:

Step1: Recall slope formula

Slope $m = \frac{\Delta y}{\Delta x}$ (change in y over change in x).

Step2: Check first graph

Points: (0,4) and (4,7). $\Delta y=7-4=3$, $\Delta x=4-0=4$. $m=\frac{3}{4}≠\frac{3}{2}$.

Step3: Check second graph

Points: (0,0) and (4,7). $\Delta y=7-0=7$, $\Delta x=4-0=4$. $m=\frac{7}{4}≠\frac{3}{2}$.

Step4: Check third graph

Points: (0,2) and (4,8). $\Delta y=8-2=6$, $\Delta x=4-0=4$. $m=\frac{6}{4}=\frac{3}{2}$.

Step5: Check fourth graph

Points: (0,6) and (4,0). $\Delta y=0-6=-6$, $\Delta x=4-0=4$. $m=-\frac{6}{4}=-\frac{3}{2}≠\frac{3}{2}$.

Answer:

The third graph (bottom-left)