Question

Find the intercepts of the equation$5x-y=5$.

Short answer

The intercepts of the given equation are (1,0) and (0,-5).

Step-by-step solution

Given information

The equation is given as $4x-y=8$to find the intercepts.

Find the intercepts on the abscissa

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

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

$\begin{array}{rcl}5x-y& =& 5\\ 5x-0& =& 5\\ 5x& =& 5\\ x& =& \frac{5}{5}\\ x& =& 1\end{array}$

Find the intercepts on the ordinate

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

$\begin{array}{rcl}5x-y& =& 5\\ 5\left(0\right)-y& =& 5\\ 0-y& =& 5\\ y& =& -5\end{array}$