Question

Is this the correct graph of y=−13x+4?(1 point)
Responses
(0,3)
(3,2)
No, it is not the correct graph because this graph used (0,3) as the y-intercept.
No, it is not the correct graph because this graph used left parenthesis 0 comma 3 right parenthesis as the y -intercept.

Yes, it is the correct graph because this graph has a y-intercept of (0,3).
Yes, it is the correct graph because this graph has a y -intercept of left parenthesis 0 comma 3 right parenthesis .

No, it is not the correct graph because this graph has a positive slope.
No, it is not the correct graph because this graph has a positive slope.

Yes, it is the correct graph because this graph has a y-intercept of (0,4).

Answer 1

The equation given is \( y = -13x + 4 \).

To determine if the graph is correct, we need to check the following:
1. **Y-intercept**: The y-intercept occurs when \( x = 0 \). Plugging \( x = 0 \) into the equation, we have:
\[
y = -13(0) + 4 = 4
\]
So, the y-intercept is (0, 4).

2. **Slope**: The slope of the line is -13, which is a negative slope.

Thus, the correct statements based on this analysis would be:
- "No, it is not the correct graph because this graph has used (0, 3) as the y-intercept."
- "No, it is not the correct graph because this graph has a positive slope."

Since the correct y-intercept is (0, 4) and the slope is negative, the statement confirming that the graph has a y-intercept at (0, 4) would be correct.

So, the correct response from the options provided would be:
**"Yes, it is the correct graph because this graph has a y-intercept of (0, 4)."**