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 \((-6, -25)\) as \((x_1, y_1)\) and \((-4, -15)\) as \((x_2, y_2)\).

Step3: Substitute into formula

\( m=\frac{-15 - (-25)}{-4 - (-6)}=\frac{-15 + 25}{-4 + 6}=\frac{10}{2}=5 \).
We can verify with other points, e.g., \((-1, 0)\) and \((2, 15)\): \( m=\frac{15 - 0}{2 - (-1)}=\frac{15}{3}=5 \).

Answer:

\( 5 \)