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

2 Answers
May 2, 2018

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

Explanation:

https://www.google.co.in/imgres?imgurl=http%3A%2F%2Fimages.slideplayer.com%2F27%2F9150041%2Fslides%2Fslide_4.jpg&imgrefurl=http%3A%2F%2Fslideplayer.com%2Fslide%2F9150041%2F&docid=r1xflArKgLV7tM&tbnid=PbZnQq_TjcV54M%3A&vet=10ahUKEwjz6qvckObaAhUHtI8KHf-KAk8QMwg2KAEwAQ..i&w=960&h=720&bih=870&biw=1680&q=find%20the%20slope%20of%20a%20line%20given%20two%20points&ved=0ahUKEwjz6qvckObaAhUHtI8KHf-KAk8QMwg2KAEwAQ&iact=mrc&uact=8

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

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

#m = -6 / 11

May 2, 2018

Slope: #-6/11#

Explanation:

#(-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!