What is the slope of the line passing through #(1,-1); (-2,-6)#? Algebra Graphs of Linear Equations and Functions Slope 1 Answer Bill Jorgensen Jun 7, 2018 #m=-5/3# Explanation: determine the slope: #(color(blue)(x_1),color(blue)(y_1)) = (1,-1)# #(color(red)(x_2),color(red)(y_2))=(-2,-6)# #color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))# #color(green)m =(color(red)(-6)-color(blue)((-1)))/(color(red)(-2)-color(blue)(1))=-5/3# 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 1189 views around the world You can reuse this answer Creative Commons License