To graph the equation (4X + 5Y = 20), first rearrange it into slope-intercept form (Y = mx + b). This can be done by isolating (Y): (5Y = -4X + 20) or (Y = -\frac{4}{5}X + 4). Next, plot the y-intercept (0, 4) on the graph, and use the slope of (-\frac{4}{5}) to find another point by going down 4 units and right 5 units. Finally, draw a straight line through these points to represent the equation.
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