Question

Dots
1 (1,-7)
2 (0,10)
Is this the correct graph of 3zy 107

(1 point)

No, il is not the correct graph because the slope is 3 and the y-intercept is (0,10)

Yes, it is the correct graph because the slope is 3 and the y-intercept is (0,10)

No, it is not the correct graph because the slope is -3 and the y-intercept is (0,10)

Yes, it is the correct graph because the slope is -3 and the y-intercept is (0,10)

Answer 1

To determine if the provided graph is correct, we can analyze the two points given: (1, -7) and (0, 10).

1. **Identify the y-intercept:** The y-intercept is the point where the graph crosses the y-axis. From the point (0, 10), we can see that the y-intercept is 10.

2. **Calculate the slope (m):** The slope of a line can be calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points (1, -7) and (0, 10):
- Let (x1, y1) = (0, 10) and (x2, y2) = (1, -7)

\[
m = \frac{-7 - 10}{1 - 0} = \frac{-17}{1} = -17
\]

3. **Determine the linear equation:** With the slope and the y-intercept, we can write the equation of the line in slope-intercept form (y = mx + b). The equation based on our calculations is:

\[
y = -17x + 10
\]

Now, from your question options regarding the slope and y-intercept of a line called "3zy 107" (which I assume is a typo or error), we can analyze the following statements provided:

1. "No, it is not the correct graph because the slope is 3 and the y-intercept is (0,10)."
2. "Yes, it is the correct graph because the slope is 3 and the y-intercept is (0,10)."
3. "No, it is not the correct graph because the slope is -3 and the y-intercept is (0,10)."
4. "Yes, it is the correct graph because the slope is -3 and the y-intercept is (0,10)."

Based on our findings, the slope is neither 3 nor -3 – it is actually -17 with the y-intercept being (0, 10). Therefore, none of the given options accurately describe the situation.

So the correct conclusion is: **No, it is not the correct graph because the slope is -17 and the y-intercept is (0,10).** However, this option is not provided in your list. If you had a choice reflecting the calculator result precisely, that would be the accurate answer.