To graph an additive linear equation, we can first identify the y-intercept (b) and then use the slope (m) to determine the direction of the line.
1. Identify 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 is equal to 0. The y-intercept is represented as (0,b) on the coordinate plane.
2. Determine the slope (m): The slope represents the rate at which the line rises or falls. It is the ratio of the change in y-values to the change in x-values. The slope is generally represented as rise over run, or (change in y) / (change in x).
3. Use the y-intercept and slope to graph the line: Start by plotting the y-intercept on the coordinate plane. Then, use the slope to find another point on the line. To do this, move vertically by the rise and horizontally by the run from the y-intercept point to find the next point on the line.
4. Connect the two points with a straight line: Once you have plotted two points on the line, connect them with a straight line. This line represents the graph of the additive linear equation.
Repeat these steps for any other additive linear equations you want to graph.
Graph additive linear equations quick check
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