Question

Find the intercepts of the equation$x-y=-4$.

Short answer

The intercepts of the given equation are (-4,0) and (0,4).

Step-by-step solution

GIven information

The equation$x-y=-4$is given 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.

$\begin{array}{rcl}x-y& =& -4\\ x-0& =& -4\\ x& =& -4\end{array}$

Find the intercept on ordinate

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

$\begin{array}{rcl}x-y& =& -4\\ 0-y& =& -4\\ -y& =& -4\\ y& =& 4\end{array}$