Frank created a scatter plot and drew a line of best fit, as shown.
In a scatter diagram, The best fit line is drawn from (0, 16) and passes through two dotted points at (12, 12), (18, 10) and the remaining dots are marked near the line.
What is the equation of the line of best fit that Frank drew?
a:y=-3x+12
b:y=-3x+16
c:y=-1/3x+12
d:y=-1/3x+16
To find the equation of the line of best fit, we need to determine the slope and y-intercept of the line using the given points.
We can find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 16) and (12, 12):
m = (12 - 16) / (12 - 0)
m = -4 / 12
m = -1/3
The slope of the line is -1/3.
To find the y-intercept, we can use the point (0, 16):
y = mx + b
16 = (-1/3)*(0) + b
16 = b
The y-intercept of the line is 16.
Therefore, the equation of the line of best fit is: y = -1/3x + 16.
The correct answer is d: y = -1/3x + 16.