Distance between two point `(8, -4)` and `(0, a)` is `10`. All the values are in the same unit of length. Find the positive value of a.

Answer

2

Explanation

The slope of a line joining two points `A(x_(1),y_(1))` and `B(x_(2),y_(2))` is denoted by m and is given by
`m=(Deltay)/(Deltax)=(y_(2)-y_(1))/(x_(2)-x_(1))=tan theta` [If both axes have identical scales]

Here `theta` is the angle made by line with positive x-axis, Slope of a line is a quantitative measure of inclination.