Question

Find the intercepts of the equation$x-2y=8$.

Short answer

The intercepts of the given equation are (8,0) and (0,-4).

Step-by-step solution

Given information

The equation is given as$x-2y=8$.

Find the intercept on abscissa

Apply the definition of the intercepts to find the intercept on the abscissa.

• Substitute each ordinate by 0 into the given equation and solve to find the required intercept on the abscissa.

$\begin{array}{rcl}x-2y& =& 8\\ x-2\left(0\right)& =& 8\\ x& =& 8\end{array}$

Find the intercept on ordinate

Now substitute each $x$by zero into the given equation and solve to find the required answer.

$\begin{array}{rcl}x-2y& =& 8\\ 0-2y& =& 8\\ -2y& =& 8\\ y& =& -4\end{array}$