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

1 Answer
Nov 29, 2016

- 7/979

Explanation:

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)Slope(m)=Change in yChange in x=y2y1x2x1=yx

In the above given points,

color(purple)((-2,3)=(x_1,y_1)(2,3)=(x1,y1)

color(purple)((7,-4)=(x_2,y_2)(7,4)=(x2,y2)

So,

rarrm("Slope")=(y_2-y_1)/(x_2-x_1)m(Slope)=y2y1x2x1

rarrrarrm=(-4-3)/(7-(-2))m=437(2)

rarrrarrm=(-7)/(7+2)m=77+2

rarrrarrm=(-7)/(9)m=79

color(green)(rArrm=- 7/9m=79

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