Question

a line passes through the points in this table.

x	y
-6	-25
-4	-15
-1	0
2	15

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

Explanation:

Step1: Recall slope formula

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

Step2: Choose two points

Let's take \( (-6, -25) \) and \( (-4, -15) \). Here, \( x_1 = -6 \), \( y_1 = -25 \), \( x_2 = -4 \), \( y_2 = -15 \).

Step3: Calculate slope

Substitute into the formula: \( m = \frac{-15 - (-25)}{-4 - (-6)} = \frac{-15 + 25}{-4 + 6} = \frac{10}{2} = 5 \).

Answer:

\( 5 \)