How to Graph the Linear Equation 2x - 3y = 6

How to Graph the Linear Equation 2x - 3y = 6 To graph the linear equation 2x - 3y = 6: 1. Rewrite the equation in slope-intercept form (y = mx + b): Start with the equation: 2x - 3y = 6 Subtract 2x from both sides: -3y = -2x + 6 Divide both sides by -3: y = (2/3)x - 2 2. Now you have the equation in slope-intercept form: y = (2/3)x - 2 The slope (m) is 2/3, and the y-intercept (b) is -2. 3. Plot the y-intercept: Start at the point (0, -2) on the graph. 4. Use the slope (2/3): From the y-intercept, rise 2 units up and run 3 units to the right to plot the next point. You can plot multiple points using this pattern. 5. Draw a straight line through the points you plotted. The graph represents the linear equation 2x - 3y = 6.