What is the slope of the line passing through the following points: # (3/5,2) ; (2/10,5/4) #?

1 Answer
Apr 21, 2016

#m=15/8#

Explanation:

To find the slope given two points, we use the gradient formula: #m=(y_2-y_1)/(x_2-x_1)#, where #x_1,y_1# are the coordinates of the the first point and #x_2,y_2# are the coordinates of the second point and #m# is the slope (and its what we're trying to find). Lets call #(3/5,2)# the first point, and #(2/10,5/4)# the second point. It doesn't matter which one we call the first or second point, the answer will always be the same Applying the formula, we get the answer:
#m=(5/4-2)/(2/10-3/5)#
#m=(5/4-8/4)/(1/5-3/5)#
#m=(-3/4)/(-2/5)#
#m=15/8#