Question

(08.06A) The line of best fit for a scatter plot is shown below:

What is the equation of this line of best fit?

1. y = -1/2x + 8

2. y = -2x + 8

3. y = -8x + 1/2

4. y = -8x + 2

thank you so much!

Answer 1

Explanation:

lets pick 2 points on the line....(6,5) and (10,3)

slope = (y2 - y1) / (x2 - x1)

(6,5)....x1 = 6 and y1 = 5

(10,3)....x2 = 10 and y2 = 3

now we sub

slope = (3 - 5) / (10 - 6) = -2/4 = -1/2

now we use y = mx + b

slope(m) = -1/2

u can use either of ur points...I will use (6,5)...x = 6 and y = 5

now we sub and find b, the y int

5 = -1/2(6) + b

5 = -3 + b

5 + 3 = b

8 = b

so ur equation is : y = -1/2x + 8 <===