Question

In the following exercises, graph using the intercepts.

$2x-y=5$

Short answer

The Graph is shown below:

Step-by-step solution

Sep 1. Given Information

The equation of a line for which the graph is drawn is

$2x-y=5$

Step 2. Concept

The X- and Y- intercept of a line is the x and y coordinates, respectively, of the points where the line intersects the x-axis and y-axis respectively. Joining these intercept graphs the equation of the line.

Step 3. Calculation

For x- intercept

Put $y=0$in the given equation, we get

$\begin{array}{rcl}2x& =& 5\\ x& =& 2.5\end{array}$

For y- intercept

Put $x=0$in the given equation, we get

$\begin{array}{rcl}-y& =& 5\\ y& =& -5\end{array}$

Step 4. Graph of equation

As, the x- and y- intercept is $\frac{5}{2}$and $-5$respectively, the line will be joining $\left(\frac{5}{2},0\right)$and (0, -5).