Question

Rate of change from the line

Answer 1

$\textbf{Answer:}$

$\frac{-1}{4}$

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

$\frac{y2 - y1}{x2 - x1}$

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

$\frac{1 - 2}{4 - 0} \rightarrow\frac{-1}{4}$

$\textrm{The rate of change of this line is }$ $\frac{-1}{4}$

Answer 2

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

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