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What is the slope of the line passing through the following points: #(2,7) , (-9,1)#?

Answer 1

Eva Abramson

#6/11#

Slope #m# of a line passing through two points #A(x_1,y_1)# and #B(x_2,y_2)# is given by

#m=(y_2-y_1)/(x_2-x_1)#

Here let #A=(2,7) and B=(-9,1)#

#implies m=(1-7)/(-9-2)=(-6)/-11=6/11#

#implies# slope of the line passing through the given points is #6/11#.

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Answer 2

Avery Alexander

To find the slope of the line passing through the points (2,7) and (-9,1), you can use the slope formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ).

Substitute the coordinates into the formula:
( m = \frac{{1 - 7}}{{-9 - 2}} )
( m = \frac{{-6}}{{-11}} )

So, the slope of the line passing through the points (2,7) and (-9,1) is ( \frac{{-6}}{{-11}} ).

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