The line of best fit for a scatter plot is shown:
A scatter plot and line of best fit are shown. Data points are located at 1 and 4, 2 and 6, 2 and 3, 4 and 3, 6 and 1, 4 and 5, 7 and 2, 0 and 6. A line of best fit passes through the y-axis at 6 and through the point 4 and 3.
What is the equation of this line of best fit in slope-intercept form?
To find the equation of the line of best fit in slope-intercept form (y = mx + b), we first need to find the slope (m) using two points on the line.
Using the points (4,3) and (0,6), we can calculate the slope:
m = (3-6)/(4-0) = -3/4
Next, we can use the slope and one of the points to find the y-intercept (b). Let's use the point (4,3):
3 = (-3/4)(4) + b
3 = -3 + b
b = 6
Therefore, the equation of the line of best fit in slope-intercept form is:
y = (-3/4)x + 6