What is the slope of the line passing through the following points: #(2,7) , (-9,1)#? Algebra Graphs of Linear Equations and Functions Slope 1 Answer SagarStudy Jan 23, 2016 #6/11# Explanation: 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#. Answer link Related questions What is Slope? How can slope be undefined? How do you calculate slope from a graph? How do you calculate the slope given two points? How does a positive slope differ from a negative slope? How does change in the slope affect the steepness of a line? Why is the slope of a horizontal line is zero? How do you determine the slope of #(3, –5)# and #(–2, 9)#? How do you determine the slope of #(1/3, 3/4)# and #(–2, 6)#? How do you determine the slope of #(2,7)# and #(7,2)#? See all questions in Slope Impact of this question 1221 views around the world You can reuse this answer Creative Commons License