Question

Graph each equation.

$x+5y=4$

Short answer

The required graph is represented by,

Step-by-step solution

Step 1. Determine the x-intercept.

Write x-intercept that can be obtained by using 0 in place of y into the provided equation.

$$\begin{gathered} x+5\cdot 0=4 \\ x+0=4 \\ x=4 \end{gathered}$$

Step 2. Determine the y-intercept.

Write y-intercept that can be obtained by using 0 in place of x into the provided equation.

$$\begin{gathered} 0+5y=4 \\ 5y=4 \\ \frac{5y}{5}=\frac{4}{5} \\ y=\frac{4}{5} \end{gathered}$$

Step 3. Take the help of x-intercept and y-intercept to draw the required graph.

Graph the points$\left(4,0\right)$ and$\left(0,\frac{4}{5}\right)$ generated with the help of x-intercept and y-intercept respectively after it join them with the help of a straight line to get the graphical representation of the provided equation.