Answer:
5y = 4x-25
Step-by-step explanation:
Let f(x) be regarded as y
So we have two points
(5,-1) and (0,-5)
We start by finding the slope of the line connecting the two points
m = y2-y1/x2-x1
m = -5+1/0-5 = -4/-5 = 4/5
The general equation of a straight line is;
y = mx + b
where m
is slope and b is the y-intercept
we already have the slope as 4/5
So;
y = 4x/5 + b
To get b, substitute one of the points
Let us use (0,-5)
-5 = 4(0)/5 + b
so b = -5
The equation is;
y = 4x/5 - 5
Multiply through by 5
5y = 4x - 25
