Question

Find the intercept for the equation$x-y=5$.

Short answer

The intercepts for the equation are (5,0) and (0,-5).

Step-by-step solution

Given information

The equation$x-y=5$to find the intercepts.

Find the intercept on abscissa

The intercepts are the points where the corresponding variables obtain the value zero.

• Hence make the corresponding variables zero to find the required.
• Substitute each $y$by 0 into the given equation to find the intercept on the abscissa.

$\begin{array}{rcl}x-y& =& 5\\ x-0& =& 5\\ x& =& 5\end{array}$

Find the intercept on Ordinate

Now substitute each $x$by 0 into the given equation and solve to find the intercept on the ordinate.

$\begin{array}{rcl}x-y& =& 5\\ 0-y& =& 5\\ -y& =& 5\\ y& =& -5\end{array}$