Question

a line passes through the points in this table.

x	y
3	2
7	10
11	18
15	26

what is the slope of the line?
write your answer as an integer or simplified fraction.
submit

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: Choose two points

Let's take the first two points \( (3, 2) \) and \( (7, 10) \). Here, \( x_1 = 3 \), \( y_1 = 2 \), \( x_2 = 7 \), \( y_2 = 10 \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{10 - 2}{7 - 3}=\frac{8}{4} = 2 \).

Answer:

\( 2 \)