A linear function is a function defined by the equation of a​ line, such as ​f(x)equals3xminus4. It can be graphed by replacing​ f(x) with y and then plotting multiple points found by substituting various values of x in the equation. Let us assume that some function is written in the form ​f(x)equalsmxplus​b, for particular values of m and b. Complete parts​ (a) through​ (d) below.

Question

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Part 1
​(a) Name the coordinates of the point on the line that corresponds to the statement ​f(2​)equals3.
The point corresponding to ​f(2​)equals3 is ____
  
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Answer 1

To find the coordinates of the point on the line corresponding to the statement $f(2)=3$, we interpret this statement as follows:

• The input $x=2$ results in the output $f(x)=3$.

Therefore, the coordinates of the point can be expressed as $(x,f(x))$, or:

$$(2,3)$$

So, the point corresponding to $f(2)=3$ is $(2,3)$.