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=(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=(7-3)/(3-2)=(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.