What is the slope of the line passing through the following points: $(2, 3), (- 2, - 1)$ $(2,3) , (-2,-1)$ ?

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Answer 1 · 2016-06-30T00:43:28

$- 1$ $color(orange)(-1)$

$S l o p e$ $color(orange)(Slope)$ = $\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}}$ $(Y_2 - Y_1)/(X_2 - X_1)$

Color Code:

$Y_{2}$ $color(red)Y_color(red)2$
$Y_{1}$ $color(blue)Y_color(blue)1$
$X_{2}$ $color(green)X_color(green)2$
$X_{1}$ $color(yellow)X_color(yellow)1$

$(2, 3)$ $(color(yellow)2, color(blue)3)$ , $(- 2, - 1)$ $(color(green)-color(green)2 ,color(red)-color(red)1)$

Now plug corresponding values into the formula at the top of the explanation:

$\frac{- 1 - 3}{- 2 - 2}$ $(color(red)-color(red)1 - color(blue)3)/(color(green)-color(green)2 - color(yellow)2)$

You get:

$\frac{- 4}{- 4}$ $color(orange)(-4)/color(orange)(-4)$

Also written as:

$1$ $color(orange)1$

What is the slope of the line passing through the following points: (2,3) , (-2,-1)(2,3),(−2,−1) (2,3) , (-2,-1)?