Here is the graph of the equation \( y = x + 5 \). The line has a slope of 1 and intersects the y-axis at \( (0, 5) \). Let me know if you would like any further details or explanations.

Here are 5 related questions to expand your understanding:

1. What happens to the graph if the slope changes to 2?
2. How would the graph look if the equation were \( y = x - 3 \)?
3. What is the significance of the y-intercept in a linear equation?
4. How do you find the x-intercept of the equation \( y = x + 5 \)?
5. How would you graph \( y = -x + 5 \) on the same coordinate plane?

**Tip:** In linear equations, the coefficient of \( x \) represents the slope, determining how steep the line is.

Explore the graph of the linear equation y = x + 5. This lesson covers key algebraic concepts like the slope and y-intercept, showing how the line has a slope of 1 and a y-intercept at (0, 5). Suitable for students in Grades 6-8 learning linear equations and graphing techniques.

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