Question

(8) Write the equation of the line that passes through the points (12, 4) and (22,9).

Answer 1

`\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

Let us find m

`m=(9-4)/(22-12)=(5)/(10)=(1)/(2)`

Therefore,

`\begin{gathered} 4=(1)/(2)(12)+b \\ 4=6+b \\ b=4-6 \\ b=-2 \end{gathered}`
`y=(1)/(2)x-2`