Question

I need help with this question

Answer 1

Answer: this would be how the numbers should look on the x axis so you can reflect them on the x axis:)

Explanation:

Answer 2

• 6
• 3
• -3
• -6

Explanation:

You want the values of x that correspond to y-values of -2, 0, 4, 6, given the relation y = -2/3x +2.

Graph

One way to find the x-values is to read them from a graph of the equation. That is what we have done in the first attachment. This tells us the table is ...

`\begin{array}c\cline{1-2}x&y\\\cline{1-2}6&-2\\3&0\\-3&4\\-6&6\\\cline{1-2}\end{array}`

Solve for x

You can solve the equation for x, then use that with the given y-values.

y = -2/3x +2

y -2 = -2/3x . . . . . subtract 2

-3/2(y -2) = x . . . . . multiply by -3/2

Using the given y-values, we find the corresponding x-values to be ...

-3/2({-2, 0, 4, 6} -2) = -3/2{-4, -2, 2, 4} = -3{-2, -1, 1, 2} = {6, 3, -3, -6}

These are the values that we obtained from the graph.

For y = {-2, 0, 4, 6}, x = {6, 3, -3, -6}.

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Additional comment

A graphing calculator or spreadsheet can process a list of numbers for you, so you don't have to enter the same computation over and over.