Question

Rate of change from the line

Answer 1

recall that all we need is two points off a straight line to get its slope, so... hmmm this one passes through (0 , 2) and (4 , 1), so let's use those

`\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-2}{4-0}\implies -\cfrac{1}{4}`

Answer 2

`\textbf{Answer:}`

`(-1)/(4)`

`\textbf{Step-by-step explanation:}`

`(y2 - y1)/(x2 - x1)`

`\textrm{Use the formula above to determine the rate of change}`

`(1 - 2)/(4 - 0) \rightarrow(-1)/(4)`

`\textrm{The rate of change of this line is }`
`(-1)/(4)`