Question

Which equation best represents the estimated line of best fit using two points given by the coordinates (3, 44) and (5, 60)?

A. y = -5x + 16
B. y = -8x + 16
C. y = 5x + 20
D. y = 8x + 20

Answer 1

To find the equation of the line of best fit, we need to determine the slope and y-intercept. Using the given points (3, 44) and (5, 60), the slope is 8 and the y-intercept is 20. Therefore, the equation of the line of best fit is y = 8x + 20.

Step-by-step explanation:

To find the equation of the line of best fit, we need to determine the slope and y-intercept.

First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)

Using the given points (3, 44) and (5, 60):
m = (60 - 44) / (5 - 3) = 16 / 2 = 8

Next, let's find the y-intercept (b) using the equation:
y = mx + b

Using point (3, 44):
44 = 8(3) + b
44 = 24 + b
b = 44 - 24 = 20

So the equation of the line of best fit is y = 8x + 20.