# How do you find the slope given (3,3) and (4,0)?

##### 1 Answer

The slope in the function f(x)=ax+b, where f(x) goes through (3, 3) and (4, 0) is

#### Explanation:

We need to start by making a graph. It makes it easier to see what we have:

**(By the way, it is important that you don't write #(3,3)# and #(4,0)# as these can be read as the decimal numbers #3.3# and #4.0#, which at least some non English speaking languages use. To ensure no misunderstanding, therefore, please add a space after the comma: #(3, 3)#, #(4, 0)#)**

As we can see, this is a linear function on the form

(Alternatively we can write it as

From the graph we can read directly that

We can show this the following way: The two value pairs

If we plug these two value pairs into the function, we get the following pair of equations:

(1)

(2)

As we have

Our slope is

(We are not asked about this, but as

so that the function is #f(x)=-3x+12)