Answer:
A. y = [tex]-\frac{2}{3}[/tex] x + 12
Step-by-step explanation:
Given the two points:
A = (x1, y1) = (6, 8)
B = (x2, y2) = (9. 6)
From the photo, we can see that the line of fest fit is a straight line (linear) that go through the two points above.
We have the standard form of a linear equation is:
where m is the slope and b is the y-intercept
To find the slope, we use the following formula:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
<=> m = [tex]\frac{6-8}{9-6}[/tex] = [tex]-\frac{2}{3}[/tex]
Substitute m into the standard equation, we have:
- y = [tex]-\frac{2}{3}[/tex] + b (1)
Because the line go through point A, so we substitute A into (1), we have:
8 = [tex]-\frac{2}{3}[/tex] *6 + b
<=> b = 12
So our equation is: y = [tex]-\frac{2}{3}[/tex] x + 12
