Answer:
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:
[tex]\begin{gathered} 3(0)+4y=-4, \\ 4y=-4, \\ y=-1. \end{gathered}[/tex]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:
[tex]\begin{gathered} 3x+4(0)=-4, \\ 3x=-4, \\ x=-\frac{4}{3}\text{.} \end{gathered}[/tex]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:
