Question

find the slope of the table.
a. 10
b. 20
c. 1/10
d. 1/20

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Select two points from the table

Let's take the first two points: \((x_1, y_1)=(10, 1)\) and \((x_2, y_2)=(20, 2)\).

Step3: Substitute into the slope formula

Substitute \( x_1 = 10 \), \( y_1 = 1 \), \( x_2 = 20 \), and \( y_2 = 2 \) into the formula:
\( m=\frac{2 - 1}{20 - 10}=\frac{1}{10} \).
We can also check with another pair of points, say \((20, 2)\) and \((30, 3)\):
\( m=\frac{3 - 2}{30 - 20}=\frac{1}{10} \), which confirms the slope.

Answer:

C. \( \frac{1}{10} \)