Question

I just need help with how to turn the table into y=Mx+b and f(x). I know how to graph and find R.

Answer 1

Given the table as shown below:

Using the equation:

`y=mx+b\text{ ---- equation 1}`

When x = 68, y equals 4.1.

Thus, substitute these values into equation 1

`\begin{gathered} 4.1=m(68)+b \\ \Rightarrow68m+b=4.1\text{ ----- equation 2} \end{gathered}`

When x = 71, y equals 4.6.

Similarly, we have

`\begin{gathered} 4.6=m(71)+b \\ \Rightarrow71m+b=4.6\text{ ----- equation 3} \end{gathered}`

From equation 2, make c the subject of the formula.

`\begin{gathered} 68m+c=4.1\text{ } \\ \Rightarrow c=4.1-68m\text{ ---- equation 4} \end{gathered}`

Substitute equation 4 into equation 3. Thus,

Substitute the obtained value of m into equation 4.

thus,

`\begin{gathered} c=4.1-68m \\ \text{where m=}(1)/(6) \\ \text{thus,} \\ c=4.1-68((1)/(6)) \\ =4.1-11.33 \\ \Rightarrow c=-7.23 \end{gathered}`

Hence, (x,y) Notation y=mx+c