iven the equations below, identify the slope and y-intercept for each then plot each equation on a cartesian plane: y=-x+4

The graph above represents the equation \( y = -x + 4 \). The line crosses the y-axis at the y-intercept (0, 4) and has a slope of -1, indicating that the line goes downwards from left to right.

Would you like more details on any part of this process or have any other questions?

Here are five related questions you might find interesting:
1. How would the graph change if the slope were positive?
2. What happens to the graph if the y-intercept is increased or decreased?
3. Can you identify the x-intercept from the equation \( y = -x + 4 \)?
4. How would you graph \( y = -2x + 3 \) using the same method?
5. What does the slope of a line tell you about its steepness?

**Tip:** Understanding the slope-intercept form \( y = mx + b \) is key to quickly graphing linear equations and identifying the slope and intercept.

Understand how to identify the slope and y-intercept of the linear equation y = -x + 4 on a Cartesian plane. This problem covers fundamental concepts of linear equations and plotting on a graph. Suitable for Grades 7-9 students.

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