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
79
7 ninths
34
3 fourths
−79
negative 7 ninths
−34
with respect to x
for this function?
(1 point)
Responses
79
7 ninths
34
3 fourths
−79
negative 7 ninths
−34
Answers
GPT-4o mini
To determine the rate of change of \( y \) with respect to \( x \) for a linear function, you need to find the slope of the line. The slope formula is given by:
\[
\text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
If you have access to specific points on the graph (such as two points where the line intersects grid lines), you can directly apply the slope formula to find the rate of change.
However, since no specific points or a visual graph are given here, I cannot calculate the slope directly from this information.
From the options you've provided:
- 79
- \( \frac{7}{9} \)
- 34
- \( \frac{3}{4} \)
- \(-79\)
- \(-\frac{7}{9}\)
- \(-34\)
Please check the graph for two points (for example, \( (x_1, y_1) \) and \( (x_2, y_2) \)) to calculate the slope. If you can give the coordinates of any two points, I can help you find the correct rate of change.
\[
\text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
If you have access to specific points on the graph (such as two points where the line intersects grid lines), you can directly apply the slope formula to find the rate of change.
However, since no specific points or a visual graph are given here, I cannot calculate the slope directly from this information.
From the options you've provided:
- 79
- \( \frac{7}{9} \)
- 34
- \( \frac{3}{4} \)
- \(-79\)
- \(-\frac{7}{9}\)
- \(-34\)
Please check the graph for two points (for example, \( (x_1, y_1) \) and \( (x_2, y_2) \)) to calculate the slope. If you can give the coordinates of any two points, I can help you find the correct rate of change.