How do you find the slope for (2,4) and (4,-2)?

2 Answers
Sep 11, 2015

Slope of the line joining #(2,4)# and #(4,-2)# is #-3#

Explanation:

Given two points #(x_1,y_1)# and #(x_2,y_2)# the slope between them is defined to be:
#color(white)("XXX")m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)#

For the given points #(color(red)(2,4))# and #(color(blue)(4,-2))#, this becomes
#color(white)("XXX")m = (color(blue)((-2))-color(red)(4))/(color(blue)(4)-color(red)(2)) = (-6)/2 = -3#

Sep 11, 2015

#=-3#

Explanation:

#x_1=2#
#y_1=4#
#x_2=4#
#y_2=-2#

#m=(y_2-y_1)/(x_2-x_1)#
#m=(-2-4)/(4-2)=(-6)/2=-3#

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