How do you find the slope given (0,5) and (5/2,0)?

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Answer 1 · 2016-07-14T15:06:48

The slope equals $m =-1/2$

Slope which is the change in $x$ versus the change in $y$ .

Slope is identified by the letter $m$

$m = (Deltay)/(Deltax)$

$m=(y_2-y_1)/(x_2-x_1)$

The y-intercept $(0,5)$ and x-intercept $(5/2,-0)$

$x_1=0$
$y_1=5$
$x_2=5/2$
$y_2=0$

$m = (0-5/2)/(5-0)$

$m = (-5/2)/(5)$

To simplify multiply by the reciprocal of the denominator

$m = -cancel5/2 * 1/cancel5$

The slope equals $m =-1/2$