Question

How would I graph 3x + 4y = -4

Answer 1

To graph a line you have to find two points on the line, one way of doing this is first setting x=0 and solving for y, as follows:

`\begin{gathered} 3(0)+4y=-4, \\ 4y=-4, \\ y=-1. \end{gathered}`

With the above calculations, we got that the point (0,-1) is on the line.

Now, to find another point on the line we set y=0 and solve for x:

`\begin{gathered} 3x+4(0)=-4, \\ 3x=-4, \\ x=-(4)/(3)\text{.} \end{gathered}`

With the above calculations, we got that the point (-4/3,0) is on the line.

Once we have those points we draw the line that passes through those points.

The graph of the given equation is: