Question

Graph the equation$2x-y=-8$using the intercepts.

Short answer

The graph of the equation is

.

Step-by-step solution

Given information

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

Find the intercepts

Apply the definition of the intercepts to find the intercepts of the given equation.

• The intercepts of the given equation are the points where the corresponding variables become zero.
• Hence substitute the associated variables zero into the given equation to find the required intercepts.

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

Graph the equation using the intercepts

The graph of the linear equation is a straight line that passes through its intercepts.

• As obtained, the intercepts of the given equation are (-4,0) and (0,8).
• Hence join the intercepts using a straight line to get the required graph of the equation.