$$ {\displaylines\text{Draw graph of }2x-3\\ \placeholder{}} $$

To graph the linear equation $ 2x - 3 $, it's helpful to follow these steps:

1. **Identify the equation type**: This is a linear equation in terms of $ x $. It represents a straight line, and it has the form $ y = 2x - 3 $, where $ m = 2 $ is the slope, and $ b = -3 $ is the y-intercept.

2. **Plot the y-intercept**: Start by plotting the point where the line crosses the y-axis. This is the y-intercept, which is $ (0, -3) $.

3. **Use the slope to find another point**: The slope is 2, which means for every 1 unit you move to the right along the x-axis, you move 2 units up on the y-axis. From the point $ (0, -3) $, move 1 unit to the right to $ x = 1 $, and then move up 2 units. This gives the point $ (1, -1) $.

4. **Draw the line**: Connect these two points with a straight line, and extend it in both directions.

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Learn how to graph the linear equation y = 2x - 3 step by step. This problem covers key concepts like slope-intercept form, identifying the slope and y-intercept, and plotting points to graph a line. Suitable for students in Grades 7-9.

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