What is the slope of the line between # (5,18) # and # (52,2 ) #?

1 Answer
Feb 3, 2016

The slope is #-16/47#.

Explanation:

To find the slope of a line from two points, use the following equation, #m=(y_2-y_1)/(x_2-x_1)#, where #m# is the slope, #(x_1,y_1)# is one point, and #(x_2,y_2)# is the other point.

Let #(5,18)# be point 1, and #(52,2)# be point 2.

(It doesn't matter which point is which. you could easily reverse the points andl get the same answer.)

Substitute the known values into the equation and solve.

#m=(y_2-y_1)/(x_2-x_1)#

#=(2-18)/(52-5)#

Simplify.

#m=-16/47#