Question
What is the rate of change of the function?
On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1).
–2
Negative one-half
One-half
2
On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1).
–2
Negative one-half
One-half
2
Answers
GPT-4o mini
To find the rate of change (slope) of the function represented by the line through the points (0, 1) and (1, -1), we can use the formula for the slope \( m \):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (0, 1)\) and \((x_2, y_2) = (1, -1)\).
Substituting the coordinates into the formula:
\[
m = \frac{-1 - 1}{1 - 0} = \frac{-2}{1} = -2
\]
Thus, the rate of change of the function is \(-2\).
The correct answer is \(-2\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Where \((x_1, y_1) = (0, 1)\) and \((x_2, y_2) = (1, -1)\).
Substituting the coordinates into the formula:
\[
m = \frac{-1 - 1}{1 - 0} = \frac{-2}{1} = -2
\]
Thus, the rate of change of the function is \(-2\).
The correct answer is \(-2\).