A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

The linear relationship (the linear equation):

y = m x + b (the slope-intercept form)

m = (50.75 - 42.25) / (5 - 3) = 8.50 / 2 = 4.25 (the slope)

42.25 = 4.25 * 3 + b

b = 42.25 - 12.75

b = 29.50

y = 4.25 * x + 29.50

Answer:

The initial value is : (0, 29.50) or 29.50.