Given the line of the best fit for a set of data points with equation y=-2.5+5x, what is the residual for the point (3,6)

The residual is the difference between the predicted value and the real value. Using the equation, we find for the value of y using the given value of x. 
            
                                y = -2.5 + 5x
                                y = -2.5 + 5(3)
                                  y = 12.5
The difference between this value and the given value of y is 12.5 - 6 = 6.5
Thus, the residual is equal to 6.5.

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.