What is the slope of the line passing through the following points: # (5, 1) , (4, 6)#? Algebra Graphs of Linear Equations and Functions Slope 1 Answer Cameron G. Jul 8, 2016 #-5# Explanation: #"gradient"(m)=("rise"(Deltay))/("run"(Deltax))# #m=(y_1-y_2)/(x_1-x_2)# #m=(1-6)/(5-4)=(-5)/(1) = -5# The slope of the line is #-5# 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 1317 views around the world You can reuse this answer Creative Commons License