Answer:
[tex]y = 50x[/tex]
Step-by-step explanation:
Let's start off by trying to find the slope/gradient (commonly denoted as [tex]m[/tex]) of this function
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
This means we divide the change in y over the change in x
Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)
[tex]m = \frac{200 - 150}{4 - 3}\\\\m = 50[/tex]
Now we have this:
[tex]y = 50x+b[/tex]
Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:
[tex]100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0[/tex]
Since b is 0, we don't have to write it on our equation, meaning that our final equation is just
[tex]y = 50x[/tex]
To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:
[tex]y = 50\cdot 4\\y = 200[/tex]
Just like it is on the graph :)
Good luck!
