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A student find the slope of the line between (8,17) and (1,4)

She writes 17-4/ 1-8. What mistake did she make

2 Answers

6 votes


\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{17})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-17}{1-8}\implies \cfrac{-13}{-7}\implies \cfrac{13}{7} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{17-4}{1-8}\stackrel{\leftarrow \textit{atop she used }y_1-y_2}{\frac{}{}}~\hfill

User KanUXD
by
8.5k points
3 votes

For this case we have that by definition, the slope of a line is given by:


m = \frac {y_ {2} -y_ {1}} {x_(2) -x_ {1}}

According to the data we have the following points:


(x_ {1}, y_ {1}) :( 1,4)\\(x_ {2}, y_ {2}) :( 8,17)

Substituting we have:


m = \frac {17-4} {8-1}\\m = \frac {13} {7}

So, the slope is
\frac {13} {7}

ANswer:

The student's mistake was to erroneously subtract the "x" coordinates from the points

User David Kariuki
by
8.4k points

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