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To find the x-intercept, you set y = 0 and solve for x. On the other hand, to find the y-intercept, you set x = 0 and solve for y.
1. X-intercept:
Setting y = 0 in the equation 5x - 6y = 60:
5x - 6(0) = 60
5x = 60
Dividing both sides of the equation by 5:
x = 60/5
x = 12
Therefore, the x-intercept is 12.
2. Y-intercept:
Setting x = 0 in the equation 5x - 6y = 60:
5(0) - 6y = 60
-6y = 60
Dividing both sides of the equation by -6:
y = 60/(-6)
y = -10
Therefore, the y-intercept is -10.
Thus, the x-intercept is 12 and the y-intercept is -10.