Question 387365
There is a line between the points (2,3) and (5,5)
There is a line between the points (2,3) and (8,8)
There is a line between the points (5,5) and (8,8)
The definition of slope is (change in y)/(change in x)
For the 1st line:
slope = {{{(5- 3)/(5 - 2) = 2/3}}}
For the 2nd line:
slope = {{{(8 - 3)/(8 - 2) = 5/6}}}
For the 3rd line:
slope = {{{(8 - 5)/(8 - 5) = 1}}}
The smallest slope is {{{2/3}}}, since, using the LCD, the slopes are
{{{4/6}}}, {{{5/6}}}, and {{{6/6}}}