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

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Answer 1 · 2018-05-02T03:58:03

#"Slope of line passing through (-2,7), (9,1) is " m = -(6/11)#

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

#m = (1 - 7) / (9 - (-2))#

#m = -6 / 11

Answer 2 · 2018-05-02T03:58:41

Slope: #-6/11#

#(-2, 7)# and #(9, 1)#

Slope of a line is defined by #"change in y"/"change in x"# or #"rise"/"run"# or the formula #(y_2-y_1)/(x_2-x_1)#.

We have the value of two points, so we can plug them into the formula:
#(1-7)/(9-(-2))#

Simplify...
#(-6)/(11)#

The slope is #-6/11#.

Hope this helps!