How do you calculate the slope of the two points: (-1,-3) and (5,-6)?

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Answer 1 · 2018-05-14T18:21:09

The slope is $m= -1/2$

Let's begin by finding the slope of the line through the two points, $(-1,-3)$ and $(5,-6)$

Slope is The change in $y$ rise over the change in $x$ run.

$m = (Deltay)/(Deltax)$

and can be found using the equation

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

For the points given the coordinates are

$x_1 = -1$
$y_1 = -3$
$x_2 = 5$
$y_2=-6$

Plug in the values and solve for slope

$m=(-6 -(-3))/(5-(-1))$

$m = -3/6$

$m =-1/2$