Ascatter plot was constructed and a line of best fit drawn as shown. what is the equation of this best line of fit? y = 5x + 5 y = x + 5 y = 5x +25 y = x + 125

Answer

y = 5x +25

Explanation

To get the equation of a line, first get the slope of the line.

Slope = (change in y)/(change in x)

          = (60-30)/(7-1)

          = 30/6

            = 5

Now use one point in the line (4,45) and a general point (x,y).

Slope = (change in y)/(change in x)

    5 = (y - 45)/(x - 4)

    5(x - 4) = (y - 45)

  5x - 20 = y - 45

y = 5x -20 + 45

y = 5x + 25