How do you find the slope of the line that passes through the points M(-2,3), N(7,-4)?

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How do you find the slope of the line that passes through the points M(-2,3), N(7,-4)?

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Answer 1 · 2016-11-29T13:20:01

$- \frac{7}{9}$ $- 7/9$

Explanation:

The Slope of a line can be defined as

$Slope (m) = \frac{Change in y}{Change in x} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{△ y}{△ x}$ $color(blue)("Slope"(m)=("Change in " y)/("Change in " x)=(y_2-y_1)/(x_2-x_1)=(triangley)/(trianglex)$

In the above given points,

$(- 2, 3) = (x_{1}, y_{1})$ $color(purple)((-2,3)=(x_1,y_1)$

$(7, - 4) = (x_{2}, y_{2})$ $color(purple)((7,-4)=(x_2,y_2)$

So,

$\to m (Slope) = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $rarrm("Slope")=(y_2-y_1)/(x_2-x_1)$

$\to \to m = \frac{- 4 - 3}{7 - (- 2)}$ $rarrrarrm=(-4-3)/(7-(-2))$

$\to \to m = \frac{- 7}{7 + 2}$ $rarrrarrm=(-7)/(7+2)$

$\to \to m = \frac{- 7}{9}$ $rarrrarrm=(-7)/(9)$

$\Rightarrow m = - \frac{7}{9}$ $color(green)(rArrm=- 7/9$

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How do you find the slope of the line that passes through the points M(-2,3), N(7,-4)?

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