Question
The graph of a linear function is shown on the grid. What is the rate of change of y
with respect to x
for this function?
(1 point)
Responses
7/9
3/4
−7/9
−3/4
with respect to x
for this function?
(1 point)
Responses
7/9
3/4
−7/9
−3/4
Answers
GPT-4o mini
To find the rate of change of \(y\) with respect to \(x\) for a linear function, we need to calculate the slope of the line. The slope \(m\) is given by the formula:
\[
m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
If you could provide the coordinates of two points on the line, I can help you calculate the slope and determine the rate of change. Without the graph or the specific points, I cannot definitively conclude which of the given responses (7/9, 3/4, -7/9, -3/4) is correct.
Please share more information about the points on the graph.
\[
m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
If you could provide the coordinates of two points on the line, I can help you calculate the slope and determine the rate of change. Without the graph or the specific points, I cannot definitively conclude which of the given responses (7/9, 3/4, -7/9, -3/4) is correct.
Please share more information about the points on the graph.