Here is the graph of the linear function \( f(x) = x + 5 \), with a slope of 1 and a y-intercept at (0, 5).

Would you like any further details or explanations?

Here are five related questions to expand your understanding:

1. How does changing the slope affect the appearance of the graph?
2. What happens to the graph if we change the y-intercept in \( f(x) = x + 5 \)?
3. How would the graph look if the equation were \( f(x) = -x + 5 \)?
4. Can you find the x-intercept of this line?
5. What would the equation look like for a line parallel to this one but passing through a different point?

**Tip:** The slope determines how steep the line is, while the y-intercept tells where the line crosses the y-axis.

Explore how to graph the linear function f(x) = x + 5, identifying the slope and y-intercept. This tutorial is designed for students in Grades 6-8, providing a step-by-step guide to understanding linear functions, graphing, and how changes to the equation affect the graph.

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