Question

Find the length of intercepts on both the axes by line $6x-8y=48$ and also find coordinates of middle point of the line segment between the axes.

Answer 1

Length of intercept on x axis = x at y=0 = 8 (8,0)

Length of intercept on y axis = y at x=0 = -6 (0,-6)

Length of line joining these two points = $\sqrt{8^2+6^2}=10$

Middle point $=(\frac{8+0}{2},\frac{0-6}{2})=(4,-3)$