Question

What is the y- intercept of the fun tion described in the table?

Answer 1

for the y intercept the equation is of the form y = mx + b, where m = slope and b = y intercept, then

$m=\frac{y2-y1}{x2-x1}=\frac{6-8}{2-1}=\frac{-2}{1}=-2$

so, b is

$\begin{gathered} 8=-2(1)+b \\ 8=-2+b \\ 8+2=-2+b+2 \\ b=10 \end{gathered}$

answer: y intercept is 10