Given the equation:
[tex]-4x+4y=16[/tex]
For a given y value, we can substitute it and solve for x to find the corresponding x value.
For a given x value, we can do the other way around to find the corresponding y value.
In the first row, the y value is given, so we can substitute it into the equation to find x:
[tex]\begin{gathered} y=0 \\ -4x+4y=16 \\ -4x+4\cdot0=16 \\ -4x=16 \\ x=\frac{16}{-4} \\ x=-4 \end{gathered}[/tex]
In the second row, the x value is given, so we can substitute it into the equation to find y:
[tex]\begin{gathered} x=0 \\ -4x+4y=16 \\ -4\cdot0+4y=16 \\ 4y=16 \\ y=\frac{16}{4} \\ y=4 \end{gathered}[/tex]
So, the table becomes:
x | y
-4 | 0
0 | 4
To graph these two points, we can can see them as coordinate points.
The first point have coordinates (-4, 0) and the second has coordinates (0, 4), so:
To graph the line, we can just connect the two points:
