https://file.aiquickdraw.com/mathbot/file/17274567810546nr4at7d.jpg

The equation in the problem is:

\[
y = -2x + 7
\]

From this, we can analyze the following:

1. **Slope**: The slope \( m \) is the coefficient of \( x \), which is \(-2\).
2. **y-intercept**: The \( y \)-intercept occurs when \( x = 0 \). The equation simplifies to \( y = 7 \), so the \( y \)-intercept is 7.
3. **x-intercept**: To find the \( x \)-intercept, set \( y = 0 \) and solve for \( x \):
   \[
   0 = -2x + 7 \implies 2x = 7 \implies x = \frac{7}{2}
   \]
   So, the \( x \)-intercept is \( \frac{7}{2} \).

4. **Graph's Behavior**: 
   - The slope is negative (\(-2\)), which means the graph is **decreasing**.
   - Since the slope is not zero, the graph is neither horizontal nor vertical.

### Summary:
- Slope: \( -2 \)
- \( y \)-intercept: \( 7 \)
- \( x \)-intercept: \( \frac{7}{2} \)
- The graph is **decreasing**.

Would you like more details on any of these points?

Here are 5 related questions:
1. How do you find the slope of a line from an equation?
2. What is the significance of the \( y \)-intercept in a linear equation?
3. How does the slope determine whether a line is increasing or decreasing?
4. How do you calculate the \( x \)-intercept for any linear equation?
5. What does a horizontal or vertical line look like in slope-intercept form?

**Tip**: The slope can be visualized as the "steepness" of a line; a negative slope means the line goes down as you move to the right.

Select the correct answers using the equations given.
The equation provided is: y = -2x + 7.
Determine the slope, y-intercept, x-intercept, and if the graph is horizontal, vertical, increasing, or decreasing.

This problem involves analyzing the linear equation y = -2x + 7. Learn how to find the slope, identify the x- and y-intercepts, and determine whether the graph is increasing, decreasing, horizontal, or vertical. Suitable for students in Grades 7-10.

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