What is the slope of the line passing through the following points: # (-2, 5) , (4, 2)#? Algebra Graphs of Linear Equations and Functions Slope 1 Answer Trevor Ryan. Feb 22, 2016 #-1/2# Explanation: #m=(Deltay)/(Deltax)=(y_2-y_1)/(x_2-x_1)# #=(5-2)/(-2-4)# #=3/(-6)# #=-1/2# 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 1058 views around the world You can reuse this answer Creative Commons License