Question

A function f (x) is graphed on the coordinate plane

what is the function rule in slope intercept form?
f(x)=

Answer 1

The linear function shown in the graph is y =2x + 1

How to find the fuction?

A general linear function is written as:

y = ax + b

Where a is the slope and b is the y-intercept.

Using the graph in the end, we can see that the y-intercept is y = 1, then we can write:

y = a*x + 1

Now we also can see that the line passes through the point (1, 3), replacing these values we will get:

3 = a*1 + 1

3 - 1 = a

2 = a

The linear function is y =2x + 1