I need help on finding a equation for a table right now

Question

x -3. -2.  -1  0.  1  2. 3

y. -4. -2   0.  2   4  6  8

 

question what's the equation for this table 

Answer 1

This is a linear equation, so we can use the various coordinates to help us.

x = 0 at y = 2, so we have our b:

y = mx + 2

 

Now let's take a point and solve for m. Let's try (1, 4):

4 = m + 2

subtract 2:

2 = m

 

so our equation looks like:

y = 2x + 2

 

You can check this equation by using other coordinates in your table.