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To graph 2x - 4y = 12, first convert it to slope-intercept form. Plot the y-intercept and use the slope to find a second point, connecting them to form a linear graph.Graphing the equation 2x - 4y = 12 involves a step-by-step process to visually represent the solution set on a coordinate plane. First, isolate y to express the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Rearrange the equation by subtracting 2x from both sides, yielding -4y = -2x + 12. Divide every term by -4 to isolate y, resulting in y = (1/2)x - 3.The obtained equation is now in slope-intercept form, revealing a slope of 1/2 and a y-intercept of -3. Begin plotting the y-intercept on the y-axis at -3. From this point, use the slope to find a second point, indicating a rise of 1 and a run of 2. Connect the plotted points to draw a straight line, representing the graph of 2x - 4y = 12.In summary, graphing 2x - 4y = 12 involves transforming the equation into slope-intercept form, identifying the y-intercept and slope, and plotting points accordingly to create a linear graph.The question probable may be:Consider the equation 2x - 4y = 12. How would you graph this equation?...