What is the slope of the line passing through the following points: #(4,1),(-2,0) #? Algebra Graphs of Linear Equations and Functions Slope 1 Answer ali ergin Mar 15, 2016 #slope=1/6# Explanation: #P_1=(4,1)# #P_2=(-2,0)# #Delta x=P_"2x"-P_"1x"=-2-4=-6# #Delta y=P_"2y"-P_"1y"=0-1=-1# #slope=tan alpha=(Delta y)/(Delta x)# #slope=(-1)/(-6)# #slope=1/6# 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 1127 views around the world You can reuse this answer Creative Commons License