slope-intercept equation:
y=mx+b
Where:
m= slope
b=y-intercept
Apply the slope formula:
![m=((y2-y1))/((x2-x1))](https://img.qammunity.org/2023/formulas/mathematics/college/bqn4tmicze0xhmesuzysoiyb5afpjp7ng9.png)
we have the coordinate points:
(x1,y1) = (0,1)
(x2,y2) = (2,9)
Replacing:
![m=(9-1)/(2-0)=(8)/(2)=4](https://img.qammunity.org/2023/formulas/mathematics/college/m1pnh2snfuo77vns4egmyj55b07n392n3r.png)
So far we have:
y=4x+b
Replace (x,y) by one point from the graph, for example (0,1) and solve for b:
1=4(0)+b
1=b
Final equation:
y= 4x+1
f(x)=4x+1