Graphing a linear equation involves plotting the points of the equation on a graph to create a straight line. Here is the step-by-step process:

1. First, ensure that the equation is in the form y = mx + b, where "m" represents the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).

2. Identify the slope (m) and the y-intercept (b) from the equation. The slope represents how steep the line is, and the y-intercept is the point where the line crosses the y-axis.

3. Start by plotting the y-intercept on the graph. This is the point (0, b), where the x-coordinate is 0, and the y-coordinate is the y-intercept value.

4. Use the slope to find additional points. The slope tells you how the line moves vertically and horizontally. For example, if the slope is 2/3, it means that for every 3 units you move horizontally (to the right), you move up 2 units vertically.

5. Starting from the y-intercept, apply the slope to find another point. For example, if the slope is 2/3, you could move 3 units to the right and 2 units up from the y-intercept. Plot that point on the graph.

6. Repeat step 5 if needed, using the slope to find more points. You can move in the opposite direction (left and down) if the slope is negative.

7. Continue connecting the plotted points with a straight line. The line should extend beyond the plotted points in both directions.

8. Label the line as the graph of the given equation.

Remember, if you have a vertical line where the x-coordinate does not change, the equation will be in the form x = a, and if you have a horizontal line where the y-coordinate does not change, the equation will be in the form y = b.
Graphing a linear equation involves plotting points on a coordinate plane to create a straight line. Here's a step-by-step process to graph a linear equation:

1. Identify the equation: You need to have the equation in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.

2. Determine the slope (m): The slope of a line determines its steepness. If the equation is not already in slope-intercept form (y = mx + b), make sure to solve for y to identify the slope.

3. Find the y-intercept (b): The y-intercept is the point where the line intersects the y-axis. It is the value of y when x = 0.

4. Plot the y-intercept on the coordinate plane: Locate the y-intercept on the y-axis and mark the point.

5. Use the slope to plot additional points: The slope represents how the line changes as x increases or decreases. It indicates the change in y divided by the change in x.

   - From the y-intercept, find another point by using the slope. If the slope is positive, move up (or down) according to the rise, and then move right (or left) according to the run. If the slope is negative, move down (or up) according to the rise, and then move right (or left) according to the run.

   - Repeat the previous step to find one or two more points on the line.

6. Connect the points: Once you have a few points plotted, draw a straight line that passes through all of them.

7. Extend the line if necessary: Based on the given equation, determine if the line should be extended beyond the plotted points. For example, if the equation represents a line that extends infinitely in both directions.

That's it! By following these steps, you should be able to graph a linear equation on a coordinate plane accurately.