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

#- 7/9#

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)#

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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