Question

another fossilized bone was found outside the area of the grid. the paleontologists need to extend the grid so they can record the location of the new bone.

1. which number line represents the x-axis when it is extended?

number line: -5 -4 -3 -2 -1 0 1 2 3 4 5 with arrows

1. which number line represents the y-axis when it is extended?

four vertical number lines: first with 1 (top), 0, -1, -2, -3, -4, -5 (bottom); second with 1 (top), 0, 1, 2, 3, 4, 5 (bottom); third with 1 (top), 0, -5, -4, -3, -2, -1 (bottom); fourth with 1 (top), 0, 5, 4, 3, 2, 1 (bottom)

Explanation:

For the x - axis question:

Step1: Recall x - axis properties

The x - axis in a coordinate grid is a horizontal number line with 0 at the origin, positive numbers to the right, and negative numbers to the left. The given grid's x - axis (from the diagram) has a range that can be extended. The number line with - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5 (horizontal, 0 in the middle, positive right, negative left) matches the x - axis extension.

Step2: Identify the correct number line

The first number line (the horizontal one with - 5 to 5) is the correct representation for the extended x - axis as it follows the standard x - axis (horizontal, origin at 0, positive direction right, negative left) properties.

Step1: Recall y - axis properties

The y - axis is a vertical number line with 0 at the origin, positive numbers above 0, and negative numbers below 0. We need to find a vertical number line where 0 is in the middle, positive values increase upwards, and negative values decrease downwards.

Step2: Analyze the options

• The first vertical number line: It has 0, then - 1, - 2, - 3, - 4, - 5 below 0 and 1 above 0. This has negative numbers below 0 and positive above, with 0 in the middle. Let's check the others:
• Second vertical number line: Has positive numbers (1,2,3,4,5) below 0, which is incorrect (positive should be above 0).
• Third vertical number line: Has - 5, - 4, - 3, - 2, - 1 below 0 but the positive side (above 0) only has 1, and the numbering is reversed in a non - standard way.
• Fourth vertical number line: Has positive numbers (5,4,3,2,1) below 0, which is incorrect.

So the first vertical number line (with 0, then - 1, - 2, - 3, - 4, - 5 below and 1 above) is correct as it follows the y - axis (vertical, origin at 0, positive up, negative down) properties.

Answer:

The horizontal number line with markings - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5 (the one shown for the x - axis question)

For the y - axis question: