How do you graph y = 4x - 2?

To graph the equation y = 4x - 2, follow these steps:

Identify Key Components

This equation is in the slope-intercept form, y = mx + b, where:

• m is the slope (4 in this case)
• b is the y-intercept (-2 here)

Plot the Y-Intercept

Start by plotting the y-intercept on the graph. Since b = -2, place a point at (0, -2) on the y-axis.

Use the Slope

The slope of 4 means that for every 1 unit you move to the right (positive direction on the x-axis), you move up 4 units (positive direction on the y-axis). From the point (0, -2):

• Move right 1 unit to x = 1
• Then move up 4 units to y = 2

This gives you another point at (1, 2).

Draw the Line

Once you have at least two points, draw a straight line through them, extending it in both directions. This line represents the equation y = 4x - 2.

Check Additional Points

If you want to ensure accuracy, you can calculate and plot more points by choosing different x-values and solving for y. For instance:

• If x = -1, then y = 4(-1) - 2 = -6 (point at (-1, -6))
• If x = 2, then y = 4(2) - 2 = 6 (point at (2, 6))

By following these steps, you can successfully graph the linear equation!