Question

A) Complete the table:b) Graph the two points you found in the table to graph the line.

Answer 1

Given the equation:

`-4x+4y=16`

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:

`\begin{gathered} y=0 \\ -4x+4y=16 \\ -4x+4\cdot0=16 \\ -4x=16 \\ x=(16)/(-4) \\ x=-4 \end{gathered}`

In the second row, the x value is given, so we can substitute it into the equation to find y:

`\begin{gathered} x=0 \\ -4x+4y=16 \\ -4\cdot0+4y=16 \\ 4y=16 \\ y=(16)/(4) \\ y=4 \end{gathered}`

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: