Chapter 5.5, Problem 11P

Graph each equation using $x$- and $y$-intercepts.

$-3x-6y=12$

To determine

To graph: The equation $-3x-6y=12$ .

Answer to Problem 11P

The graph is

  

Explanation of Solution

Given information:

The equation is $-3x-6y=12$ .

Graph:

From the given equation, the intercepts are

x -intercept: $\frac{12}{-3}=-4$

y -intercept: $\frac{12}{-6}=-2$

From the above finding intercepts, the points that lie on the line are $(-4,0)$ and $(0,-2)$ .

So marking these points on the graph and connecting them using a straight line gives us the graph of the given equation as shown below: