Question

Hey, there I just need help with question 10) please!

Answer 1

9)

Using the ordered pairs:

$\begin{gathered} (x1,y1)=(0,1) \\ (x2,y2)=(1,-2) \end{gathered}$

Since the values are increasing at a constant rate, we can model the function as a linear equation of the form:

$\begin{gathered} y=mx+b \\ where\colon \\ m=\frac{y2-y1}{x2-x1}=\frac{-2-1}{1-0}=-\frac{3}{1} \\ m=-3 \end{gathered}$

Using the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-1=-3(x-0) \\ y-1=-3x-0 \\ y=-3x+1 \end{gathered}$