Question

Find the intercepts for the equation$4x-y=8$.

Short answer

The intercepts for the given equation are (2,0) and (0,-8).

Step-by-step solution

Given information

The equation is given as$4x-y=8$.

Find the intercept on abscissa

Apply the definition of the intercepts to find the required answer to the problem.

• The intercept on the abscissa is the point where the ordinate becomes zero.
• Substitute each $y$by 0 and find the solution to find the intercept on the abscissa.

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

Find the intercepts on the ordinate

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

$\begin{array}{rcl}4x-y& =& 8\\ 4\left(0\right)-y& =& 8\\ 0-y& =& 8\\ y& =& -8\end{array}$