Question

part of a linear function passes through the points shown in this
x | y
-2 | 8
0 | 2
3 | -7
what is the slope of the graph?
enter your response here:
only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., -, and / are allowed in your answer.
mixed numbers are entered by adding a space after the whole number.
spaces are only allowed between whole numbers and fractions.

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points (e.g., $(-2,8)$ and $(0,2)$)

$m = \frac{2 - 8}{0 - (-2)}$

Step3: Calculate numerator and denominator

$m = \frac{-6}{2} = -3$

Step4: Verify with another pair (e.g., $(0,2)$ and $(3,-7)$)

$m = \frac{-7 - 2}{3 - 0} = \frac{-9}{3} = -3$

Answer:

$-3$