Fill in the table with coordinates (x, y) when x = -8.

Understand the Problem

The question presents a table with a repeated equation (x = -8) and an empty column for coordinates (x, y). The aim is likely to fill in the coordinate pairs based on the given x-value.

Answer

The coordinate pairs are $(-8, 0)$, $(-8, 1)$, $(-8, 2)$, and $(-8, 3)$.

Steps to Solve

Understanding the Coordinates

The table presents multiple rows where the x-coordinate is fixed at $x = -8$. To fill in the coordinates, we can assign different values for y.

Choosing Values for y

Since no specific equation for y is given, we can choose simple integer values for y. For example, we can use $y = 0$, $y = 1$, $y = 2$, and $y = 3$.

Creating the Coordinate Pairs

Using the values chosen for y, we can form the coordinate pairs:

For $y = 0$: $(x, y) = (-8, 0)$
For $y = 1$: $(x, y) = (-8, 1)$
For $y = 2$: $(x, y) = (-8, 2)$
For $y = 3$: $(x, y) = (-8, 3)$

Final Table

The completed table with the coordinates is:

Row 1: $(-8, 0)$
Row 2: $(-8, 1)$
Row 3: $(-8, 2)$
Row 4: $(-8, 3)$

The coordinate pairs are:

$(-8, 0)$
$(-8, 1)$
$(-8, 2)$
$(-8, 3)$

More Information

This problem illustrates the concept of ordered pairs in the Cartesian coordinate system, where each pair consists of an x-coordinate and a y-coordinate. The x-value remains constant while the y-value varies.

Tips

Neglecting the y-coordinate: Some students might forget to assign values to y. Always ensure to choose or define values for y.
Using non-integer values: Depending on the context, make sure chosen values for y are appropriate. Using negative or fractional values can sometimes complicate the understanding.

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