Reduce the equation 3x – 4y + 12 = 0 to intercepts form. Hence, find the length of the portion of the line intercepted between the axes

Given equation is 3x - 4y +12 = 0

We can rewrite it as 3x - 4y = -12

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

Where, x-intercept = -4 and y-intercept = 3

Two points are: (-4, 0) on the x-axis and (0, 3) on y-axis

We know distance between two points is

Length of the line

= 5

Conclusion: Length of the portion of the line intercepted between the axes is 5