What is the slope of the line passing through the following points: # (4,7) , (-6,1)#?

1 Answer
Jun 25, 2017

Answer:

#3/5#

Explanation:

#y-y_1=m(x-x_1)#

#(7-1)=m(4-(-6))# #y# is the y-coordinate of the point on the right. #y_1# is the y-coordinate of the point on the left. #x# is the x-coordinate of the point on the right. #x_1# is the x-coordinate of the point on the left.

#m=(7-1)/(4+6)# m is the gradient, and is the change in y over the change in x.

Therefore, #m=6/10#, dividing top and bottom by 2 gives a simpler fraction: #3/5#