The x-intercept of the graph of the line is (-18, 0) and the y-intercept of the graph of the line is (0, 8)
Since the equation -4x + 9y = 72 represents the equation of the line, we get the x-intercept when y = 0 and the y-intercept when x = 0.
So, the x-intercept when y = 0
-4x + 9y = 72
substituting y = 0 into the equation, we have
-4x + 9(0) = 72
-4x + 0 = 72
-4x = 72
dividing through by -4, we have
x = -72/4
x = -18
Also, the y-intercept when x = 0
-4x + 9y = 72
substituting x = 0 into the equation, we have
-4(0) + 9y = 72
0 + 9y = 72
9y = 72
dividing through by 9, we have
y = 72/9
y = 8
So, the x-intercept of the graph of the line is (-18, 0) and the y-intercept of the graph of the line is (0, 8)
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