What is the slope of the line going through #(9, 3)# and #(1, 6)#?

2 Answers
Nov 9, 2017

See a solution process below:

Explanation:

The slope can be found by using the formula: #m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #m# is the slope and (#color(blue)(x_1, y_1)#) and (#color(red)(x_2, y_2)#) are the two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(6) - color(blue)(3))/(color(red)(1) - color(blue)(9)) = 3/-8 = -3/8#

the slope is #m=3/(-8)#

Explanation:

the formula for slope when two points is #m=(y_2-y_1)/(x_2-x_1)#
substituting the points in the formula we get #m=(6-3)/(1-9)rArrm=3/-8#