Question

Compare the two functions to see which has a greater rate of changeProblem #9

Answer 1

`\begin{gathered} \text{ Slope 1= }(2)/(5) \\ \text{ Slope 2= }2 \end{gathered}`

Explanation:

Linear functions are represented by the following equation:

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

Then, reorganize the functions into the form above and identify ''m'':

`\begin{gathered} \text{ Function 1:} \\ -2x+5y=10 \\ 5y=10+2x \\ y=2+(2)/(5)x \\ \text{ The slope is }(2)/(5) \end{gathered}`

For the other function:

`\begin{gathered} \text{ Function 2:} \\ -6x+3y=18 \\ 3y=18+6x \\ y=6+2x \\ \text{ The slope is 2} \end{gathered}`