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The equation given is \( y = 4x - 3 \), which is in slope-intercept form \( y = mx + b \), where \( m = 4 \) is the slope and \( b = -3 \) is the y-intercept.

The first step in graphing this linear equation is to plot the **y-intercept**. The y-intercept is the point where the line crosses the y-axis, which happens when \( x = 0 \).

From the equation \( y = 4(0) - 3 \), we get:
\[
y = -3
\]
Thus, the point to plot is \( (0, -3) \).

The correct values to complete the sentence are:  
Plot the point \( (0, -3) \).

Would you like more details on how to graph the rest of the equation? Here are five questions to further your understanding:

1. What does the slope \( m = 4 \) represent in the graph of this equation?
2. How can you find another point on the line using the slope?
3. Why is the y-intercept important for graphing linear equations?
4. What would the graph look like if the slope were negative?
5. How would changing the y-intercept affect the position of the graph?

**Tip:** When graphing, always start by plotting the y-intercept, then use the slope to find additional points!

What is the first step in graphing the linear equation y = 4x - 3?

Learn how to graph the linear equation y = 4x - 3 by plotting the y-intercept at (0, -3) and using the slope. This guide explains the slope-intercept form and is suitable for students in Grades 7-9.

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