Question

The equation of a line is given below.Find the x-intercept and the y-intercept.Then use them to graph the line.2x + 4y = - 12

Answer 1

Given:

Linear equation 2x + 4y = -12.

To find:

Using x and y intercept find graph.

Explanation:

Intercept form of straight line

$\frac{x}{a}+\frac{y}{b}=1$

Where a , b are x and y intercept.

Solution:

We will use intercept form

$\begin{gathered} 2x+4y=-12 \\ \frac{x}{-6}+\frac{y}{-3}=1 \end{gathered}$

So, (-6, 0) and (0, -3) are intercept on x and y axis respectively.

Now, graph of equation is

Hence, this is the required graph.