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