Question

linear function k passes through points $(-3, 7)$ and $(3, 3)$. what is the rate of change of function k?
-3/2
-2/3
3/2
2/3

Explanation:

Step1: Recall slope formula

The rate of change of a linear function is its slope, calculated by $\frac{y_2 - y_1}{x_2 - x_1}$ for points $(x_1,y_1)$ and $(x_2,y_2)$.

Step2: Assign values to variables

Let $(x_1,y_1)=(-3,7)$ and $(x_2,y_2)=(3,3)$.

Step3: Substitute into slope formula

$\frac{3 - 7}{3 - (-3)} = \frac{-4}{6}$

Step4: Simplify the fraction

$\frac{-4}{6} = -\frac{2}{3}$

Answer:

-2/3