To graph the functions we first need to isolate the y variable to the left side of the equal sign.
[tex]\begin{gathered} 5-y=-3x \\ -y=-3x-5 \\ y=3x+5 \end{gathered}[/tex]
Now we need two points to draw the line. The first one will be calculated with x = 0 and the second one with y =0.
[tex]\begin{gathered} y=3\cdot0+5 \\ y=5 \end{gathered}[/tex]
First point: (0, 5).
[tex]\begin{gathered} 0=3\cdot x+5 \\ 3\cdot x=-5 \\ x=\frac{-5}{3} \end{gathered}[/tex]
Second point: (-5/3, 0).
Now that we have the two points we need to represent them on the coordinate plane and draw a line between them.
For the second equation we don't need to isolate the variable, just find the two points. We will once again find the points for x= 0 and y = 0. First point:
[tex]y=8-6\cdot0=8[/tex]
The first point (0,8).
[tex]\begin{gathered} 0=8-6\cdot x \\ 6\cdot x=8 \\ x=\frac{8}{6}=\frac{4}{3} \end{gathered}[/tex]
Second point (4/3, 0).
