What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4 2 9 12

Using the 2-point form of the equation for a line, you can write the equation as
  y = (y₂ -y₁)/(x₂ -x₁)×(x -x₁) +y₁
If we let (x₁, y₁) = (4, 2) and (x₂, y₂) = (9, 12) this becomes
  y = (12 -2)/(9 -4)×(x -4) +2
  y = (10/5)×(x -4) +2
  y = 2x -6

The equation in slope-intercept form of the given function is ...
  y = 2x -6