Answer:
y = -5x/3 + 18
Explanation:
The points can be written as;
(x,f(x))
where f(x) is same as y
So the points we have are;
(6,8) and (9,3)
We start by finding the slope or the line connecting the points
m = y2-y1/x2-x1 = (3-8)/(9-6) = -5/3
So now we have the general form of a linear equation as
y = mx + b
where m is slope and b is y intercept
We already have slope and we want to calculate y-intercept
Simply substitute one of the points
(9,3) in this case
9 for x and 3 for y
we have ;
y = -5x/3 + c
3 = -15 + c
c = 18
So the line equation is;
y = -5x/3 + 18