Reduce the equation 5x – 12y = 60 to intercepts form. Hence, find the length of the portion of the line intercepted between the axes

Given equation is 5x - 12y = 60


We can rewrite it as




This equation is in the slope intercept form i.e. in the form + = 1


Where, x-intercept = 12 and y-intercept = -5


Two points are: (12, 0) on the x-axis and (0,-5) on y-axis


We know the distance between two points is



Length of the line




= 13


Conclusion: length of the portion of the line intercepted between the axes is 13


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