Here is the graph of the equation \( y = -2x - 7 \). The line has a slope of -2, indicating that it decreases as \( x \) increases, and the y-intercept is at \( -7 \), where the line crosses the y-axis.

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Here are 5 related questions to explore:
1. What is the slope and y-intercept of the line?
2. How do you find the x-intercept of a linear equation?
3. What does the slope tell you about the steepness of the line?
4. How would the graph change if the equation was \( y = 2x - 7 \)?
5. Can you determine the equation of a line given a graph?

**Tip:** The slope of a line describes how much \( y \) changes for each unit change in \( x \); a negative slope means the line slopes downward.

Learn how to graph the linear equation y = -2x - 7. This problem involves understanding slope-intercept form, with a slope of -2 and a y-intercept of -7. The solution includes a detailed graph and explores key concepts such as slope and intercepts. Suitable for students in Grades 8-10.

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