Question
The graph of a linear function z is shown below.
Which of the following best describes the slope of function z?
Responses
A. -2/3
B. 3/2
C. -3/2
D. 2/3
Which of the following best describes the slope of function z?
Responses
A. -2/3
B. 3/2
C. -3/2
D. 2/3
Answers
GPT-4o mini
To determine the slope of the linear function \( z \), you need to identify two points on the graph. The slope \( m \) is calculated using the formula:
\[
m = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
If you have specific points from the graph (let's say point \( (x_1, y_1) \) and point \( (x_2, y_2) \)), you can plug them into the formula to find the slope.
1. Identify the coordinates of two distinct points on the line.
2. Substitute these coordinates into the slope formula above to find the slope.
If you do this and find that the slope corresponds to one of the options given (A, B, C, D), then that will be your answer.
Without access to the actual graph, I can't provide the exact slope, but you can follow these steps to find it. If you need help understanding how to identify the points from the graph or plugging them into the formula, let me know!
\[
m = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}
\]
If you have specific points from the graph (let's say point \( (x_1, y_1) \) and point \( (x_2, y_2) \)), you can plug them into the formula to find the slope.
1. Identify the coordinates of two distinct points on the line.
2. Substitute these coordinates into the slope formula above to find the slope.
If you do this and find that the slope corresponds to one of the options given (A, B, C, D), then that will be your answer.
Without access to the actual graph, I can't provide the exact slope, but you can follow these steps to find it. If you need help understanding how to identify the points from the graph or plugging them into the formula, let me know!