Question

I am unsure of how to solve this can u pls help me

Answer 1

The general equation of line passing through two points is,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Determine the linera equation for given function table.

`\begin{gathered} y-12=(17-12)/(12-8)(x-8) \\ y=(5)/(4)x-(5)/(4)\cdot8+12 \\ y=(5)/(4)x+2 \end{gathered}`

So equation is,

`f(x)=(5)/(4)x+2`

The value of a is 5/4 and value of b is 2.

Determine the value of a+b.

`\begin{gathered} a+b=(5)/(4)+2 \\ =(5+2\cdot4)/(4) \\ =(13)/(4) \end{gathered}`

So answer is 13/4.