Question

Make a table of values for the line 4x + 2y = 8. Use x = 0, for one point, y = 0 for another point, and then three other points.

Answer 1

Explanation:

To make the table of values, we first write the equation given in slope-intercept form as it is convenient.

`4x+2y=8`

subtracting 4x from both sides gives

`2y=8-4x`

then dividing both sides by 2 gives

`y=(8-4x)/(2)`
`y=4-2x`

Now we evaluate the function at x = -1, 1 , 0, 1 ,2, 3

At x = -1

`\begin{gathered} y=4-2(-1) \\ \boxed{y=6} \end{gathered}`

At x = 0,

`\begin{gathered} y=4-2\cdot0 \\ \boxed{y=4} \end{gathered}`

At x = 1

`\begin{gathered} y=4-2\cdot1 \\ \boxed{y=2} \end{gathered}`

At x = 2

`\begin{gathered} y=4-2\cdot2 \\ \boxed{y=0} \end{gathered}`

At x = 3

`\begin{gathered} y=4-2\cdot3 \\ \boxed{y=-2} \end{gathered}`

Hence we have the table

x | y

-1 | 6

0 | 4

1 | 2

2 | 0

3 | -2