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The equation you are asked to graph is $ y = 2x + 3 $.

This is a linear equation in slope-intercept form, $ y = mx + b $, where:
- $ m = 2 $ is the slope, meaning that for every 1 unit increase in $ x $, $ y $ increases by 2 units.
- $ b = 3 $ is the y-intercept, meaning the line crosses the y-axis at $ y = 3 $.

### Steps to graph:
1. **Plot the y-intercept (0, 3)**: Start by placing a point at $ (0, 3) $, where the line crosses the y-axis.
2. **Use the slope to find another point**: The slope is 2, which means for every 1 unit you move right along the x-axis, you move 2 units up. From the point $ (0, 3) $, move 1 unit to the right and 2 units up to plot the point $ (1, 5) $.
3. **Draw the line**: Connect the two points $ (0, 3) $ and $ (1, 5) $ with a straight line. You can extend this line in both directions for a more complete graph.

Would you like more details on graphing linear equations, or do you have any specific questions?

Here are 5 related questions for further practice:
1. What does the slope of the line represent in this context?
2. How would the graph change if the equation was $ y = -2x + 3 $?
3. What is the x-intercept of the equation $ y = 2x + 3 $?
4. How can you determine the slope of a line given two points on the graph?
5. How would the equation change if the subway fare had an initial fee of $4 instead of $3?

**Tip**: When graphing lines, always identify the slope and intercept first to make plotting points easier!

Learn how to graph the linear equation y = 2x + 3, where the slope is 2 and the y-intercept is 3. Follow the step-by-step process to plot points and understand the graphing method for linear equations. Suitable for students in Grades 6-8.

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