Question

What is the equation of this trend line?

Answer 1

Step-by-step explanation:

well, we pick two points with hopefully integer coordinates on the line.

I selected

(2, 24) and (10, 8)

the slope of the line is the factor of x (or if J in our case here).

and it is the ratio of "y coordinate change / x coordinate change" (or here K change / J change) when going from one point to another on the line.

so,

x (or J) changes by +8 (from 2 to 10).

y (or K) change by -16 (from 24 to 8).

so, the slope (factor or x or J) is -16/+8 = -2.

the second box is the y-(or K)intercept. that is the value of y (or K) when x (or J) = 0, so where the line intercepts the y-(or K-)axis.

we use the J, K coordinates of one point in the equation to calculate that. I chose (2, 24).

24 = -2×2 + intercept = -4 + intercept.

intercept = 28

so, the line equation is

K = -2J + 28