How do you find the slope of a line passing through the points G(-5,3) and H(10,-6)? Algebra Graphs of Linear Equations and Functions Slope 1 Answer Sihan Tawsik Jan 28, 2016 #(-3)/5# Explanation: we know, #m=(y_1-y_2)/(x_1-x_2)# #x_1=-5, x_2=10, y_1=3,y_2=-6# so, #m=(3-(-6))/(-5-10)# #=(3+6)/(-15)# #=(-9)/15# #(-3)/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 1435 views around the world You can reuse this answer Creative Commons License