How do I write a slope-intercept form equation from a table?

Question

If I have the table,

 

x         y
-5      -7
0       -5
3       -3

How would I write a slope-intercept form equation using this table?

Answer 1

The table gives you three points

that are on the line:

(-5, -7), (0, -5), (3, -3)

 

Use any two of them to find 

the slope

 

m = (y₂-y₁)/(x₂-x₁)

Using (0,-5) and (3,-3):

m = (-3-(-5))/(3-0) = 2/3