Answer:
f(x) = -3x + 6
Step-by-step explanation:
The general linear function is;
y = mx + b
it can also be written as (x , f(x))
f(x) = mx + b
where m is the slope and b is the y-intercept
so we have the points ;
(0,6) and (4,-6)
So we have;
for f(0) to be 6, it means that the y-intercept b is 6
This is because the value of x at the y-intercept is 0
So we have this as;
f(x) = mx + 6
Now, let’s substitute the other point so as to get m
For the other point;
x = 4 and f(x) = -6
that means;
-6 = 4m + 6
4m = -6-6
4m = -12
m = -12/4
m = -3
So we have the equation as;
f(x) = -3x + 6
