X is 2.6 and 3.2 and y is -6 and 3 what is the rate of change of the linear function ? A. 15 b. -5 c. 0.067 d. -15

Answer 1

To find the rate of change (or slope) of the linear function given points \( (2.6, -6) \) and \( (3.2, 3) \), you can use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, \((x_1, y_1) = (2.6, -6)\) and \((x_2, y_2) = (3.2, 3)\).

Plugging in the values:

\[ m = \frac{3 - (-6)}{3.2 - 2.6} \]
\[ m = \frac{3 + 6}{3.2 - 2.6} \]
\[ m = \frac{9}{0.6} \]
\[ m = 15 \]

So, the rate of change of the linear function is \( \boxed{15} \).