Question

x 1 2 3 4
y 2 7 12 17
find the slope
a -5
b 1/5
c 5
d -1/5

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points from the table, say $(x_1 = 1,y_1 = 2)$ and $(x_2=2,y_2 = 7)$.

Step2: Substitute values into formula

$m=\frac{7 - 2}{2 - 1}=\frac{5}{1}=5$. We can also check with other pairs, for example, taking $(x_1 = 2,y_1 = 7)$ and $(x_2 = 3,y_2=12)$, then $m=\frac{12 - 7}{3 - 2}=\frac{5}{1}=5$.

Answer:

C. 5