Question

4.) What function rule models the values in the table?Х0481216Y48121620a.) Y = -x + 4b.)Y = X+4C.) Y = 4x + 4

Answer 1

general equation of a line is

$y=mx+b$

where m is the slope and b the y-intercept or the value of y when x=0

from the table the value when x=0 is 4,then

$y=mx+4$

now we can replace a point of the table to find m(slope) I will use the point (8,12)

$\begin{gathered} (12)=m(8)+4 \\ 12=8m+4 \\ 12-4=8m \\ 8=8m \\ m=1 \end{gathered}$

slope is 1

then the solution equation is

$y=x+4$

and right option is b) y=x+4