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
