The general equation of line passing through two points is,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Determine the linera equation for given function table.
[tex]\begin{gathered} y-12=\frac{17-12}{12-8}(x-8) \\ y=\frac{5}{4}x-\frac{5}{4}\cdot8+12 \\ y=\frac{5}{4}x+2 \end{gathered}[/tex]
So equation is,
[tex]f(x)=\frac{5}{4}x+2[/tex]
The value of a is 5/4 and value of b is 2.
Determine the value of a+b.
[tex]\begin{gathered} a+b=\frac{5}{4}+2 \\ =\frac{5+2\cdot4}{4} \\ =\frac{13}{4} \end{gathered}[/tex]
So answer is 13/4.
