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

$- 7/9$

The Slope of a line can be defined as

$color(blue)("Slope"(m)=("Change in " y)/("Change in " x)=(y_2-y_1)/(x_2-x_1)=(triangley)/(trianglex)$

In the above given points,

$color(purple)((-2,3)=(x_1,y_1)$

$color(purple)((7,-4)=(x_2,y_2)$

So,

$rarrm("Slope")=(y_2-y_1)/(x_2-x_1)$

$rarrrarrm=(-4-3)/(7-(-2))$

$rarrrarrm=(-7)/(7+2)$

$rarrrarrm=(-7)/(9)$

$color(green)(rArrm=- 7/9$

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