Question

a linear function of x is graphed on a coordinate grid. the points (6, 34) and (18, 26) lie on the graph of the function. what are the rate of change of the function?
-3/2
3/2
-2/3
2/3

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2-y_1}{x_2-x_1}$.

Step2: Assign values to variables

Let $(x_1,y_1)=(6,34)$ and $(x_2,y_2)=(18,26)$.

Step3: Calculate numerator and denominator

Numerator: $26-34=-8$
Denominator: $18-6=12$

Step4: Simplify the fraction

$\frac{-8}{12}=\frac{-2}{3}$

Answer:

-2/3