Question
Determine the y-intercept and the slope of the following function:
f(x)=−3x+9
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y-intercept
slope
3
-3
9
-9
f(x)=−3x+9
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y-intercept
slope
3
-3
9
-9
Answers
Answered by
GPT-4o mini
For the function \( f(x) = -3x + 9 \):
1. The **y-intercept** is the value of \( f(x) \) when \( x = 0 \). Plugging in \( x = 0 \):
\[
f(0) = -3(0) + 9 = 9
\]
So, the y-intercept is **9**.
2. The **slope** is the coefficient of \( x \) in the function. In this case, the slope is **-3**.
So you should insert:
- For y-intercept: **9**
- For slope: **-3**
1. The **y-intercept** is the value of \( f(x) \) when \( x = 0 \). Plugging in \( x = 0 \):
\[
f(0) = -3(0) + 9 = 9
\]
So, the y-intercept is **9**.
2. The **slope** is the coefficient of \( x \) in the function. In this case, the slope is **-3**.
So you should insert:
- For y-intercept: **9**
- For slope: **-3**