Question

Graph a line using the intercepts.

$2x+4y=12$

Short answer

x-intercept is$(6,0)$

y-intercept is$(0,3)$

Graph is

Step-by-step solution

Step 1. Given information

The equation of a line is

$2x+4y=12$

Step 2. Finding x-intercept

Plug $y=0$and find $x-$value

$$\begin{gathered} 2x+4\times 0=12 \\ 2x+0=12 \\ 2x=12 \\ x=\frac{12}{2} \\ x=6 \end{gathered}$$

So, the x-intercept point is$(6,0)$.

Step 3. Finding y-intercept 

Plug $x=0$and find $y-$value

$$\begin{gathered} 2\times 0+4y=12 \\ 0+4y=12 \\ 4y=12 \\ y=\frac{12}{4} \\ y=3 \end{gathered}$$

So, the y-intercept is$(0,3)$.

Step 4. Sketching the graph of a line

Locate x and y intercepts points on the graph, then join them to get the equation of a line.