Hi I need help with my math problem. It is:

Also please do NOT tell me the answer but show me how to solve it. Thanks everybody!

look at the first entry in the table

if x = - 4, y = 4

now look at each rule
1st rule says,
that y = -x ( y equals the neg of x)

2nd rule says,
y = -4 (the value for y is -4)

3rd rule says
y = 2x (y is two times the value of x)

4th rule
y = x (y and x are the same)

since if x = - 4, y = 4 (1st entry)
the rule would be
y = -x

do you understand?

look at the other entries in the table and see how they all follow this rule

I need help finding heighth of a pyramid.

You divide by -1

To identify the function rule from this table, we need to observe the relationship between the values of x and y.

Looking at the table, we can see that as the value of x increases by 2, the value of y decreases by 2. This indicates a linear relationship between x and y.

To find the function rule, we can determine the rate of change or slope. We can arbitrarily choose any two points from the table, for example (-4, 4) and (0, 0).

The formula to calculate the slope is:

Slope = (change in y) / (change in x)

Slope = (0 - 4) / (0 - (-4)) = -4 / 4 = -1

Now that we know the slope is -1, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, so the equation becomes:

y = -x + b

To find the value of b, we can substitute any point from the table into the equation. Let's use the point (0, 0):

0 = -(0) + b
0 = b

Now that we have the value of b, which is 0, we can write the final equation:

y = -x + 0

Simplifying it, we get:

y = -x

From the given answer choices, the correct function rule for the table is:

y = -x