Question

08Question 2Ху2337411515Write an equation relating y and x based on this table of values.

Answer 1

First, we find the constant ratio of change

$m=\frac{y_2-y_1}{x_2-x_1}$

Where,

$\begin{gathered} x_1=2 \\ x_2=3 \\ y_1=3 \\ y_2=7 \end{gathered}$$m=\frac{7-3}{3-2}=\frac{4}{1}=4$

Then, we use the point-slope formula to find the equation

$\begin{gathered} y-y_1=m(x-x_1) \\ y-3=4(x-2) \\ y=4x-8+3 \\ y=4x-5 \end{gathered}$

Hence, the equation is y = 4x - 5.