Jenna created a scatter plot and drew a line of best fit, as shown.
The scatter plot diagram shows the line starts at (0, 19) and passes through two dotted points at (4, 16) and (16, 7). The remaining dots are marked near the line.
What is the equation of the line of best fit that Jenna drew?
A. y=4/3x+4
B. y=-4/3x+19
C. y=-3/4x+4
D. y=03/4x+19
To find the equation of the line of best fit, we need to determine the slope and y-intercept.
First, we can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 19) and (16, 7):
m = (7 - 19) / (16 - 0)
m = -12 / 16
m = -3/4
Next, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
Using the point (0, 19), we can substitute the values for m and the coordinates into the equation to solve for b:
19 = (-3/4)(0) + b
19 = b
So the y-intercept, b, is 19.
Therefore, the equation of the line of best fit is:
y = -3/4x + 19
The correct answer is C. y = -3/4x + 19.