https://file.aiquickdraw.com/mathbot/file/1735513832641n44andos.jpg

The equation provided in the image is \( y = -5x + 7 \). This is the equation of a straight line in slope-intercept form, where:

- The slope (\( m \)) is \(-5\).
- The y-intercept (\( b \)) is \( 7 \).

### Steps to Graph:
1. **Plot the y-intercept:** Start at \( (0, 7) \) on the y-axis.
2. **Use the slope to find another point:**
   - Slope \( m = -5 \) means that for every 1 unit increase in \( x \), \( y \) decreases by 5.
   - From \( (0, 7) \), move 1 unit to the right (\( x = 1 \)), and then move 5 units down (\( y = 2 \)). This gives a second point, \( (1, 2) \).
3. **Draw the line:** Connect these points and extend the line in both directions.

Let me know if you'd like me to graph it for you or explain any step further.

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Would you like a detailed graph? Here are related questions for practice:

1. How do you find the slope of a line given two points?
2. What happens to the graph if the slope is positive instead of negative?
3. How would the graph change if the equation were \( y = -5x - 3 \)?
4. How can you determine the x-intercept of a line?
5. How do you graph a line when the equation is not in slope-intercept form?

**Tip:** Always identify the y-intercept and slope first to make graphing easier!

Learn how to graph the linear equation y = -5x + 7 with a detailed step-by-step solution. This guide covers key algebraic concepts, including slope-intercept form and graphing linear functions. Suitable for students in Grades 8-10.

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