In the figure above, what is the slope of line $l$ ?

- \frac{r}{s}

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\frac{r}{s}

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- \frac{s}{r}

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\frac{s}{r}

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- \frac{1}{r s}

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Solution

The correct option is A $- \frac{r}{s}$
We know that
If $(x,$ $y)$ and $(a,$ $b)$ are two points on a straight line, slope of the line is $\frac{(y - b)}{(x - a)}$ .
Here, $(x,$ $y)$ $=$ $(s,$ $0)$
and $(a,$ $b)$ $=$ $(0,$ $r)$
Slope of the line $=$ $\frac{(y - b)}{(x - a)}$
$=$ $\frac{(0 - r)}{(s - 0)}$
$=$ $\frac{- r}{s}$
Therefore, slope of the line is $\frac{- r}{s}$ .

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