What is the slope of the line passing through the following points: # (1,3) ; (1,-2)#?

2 Answers
Mar 11, 2018

#"slope is undefined"#

Explanation:

#"calculate the slope m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(1,3)" and "(x_2,y_2)=(1,-2)#

#rarrm=(-2-3)/(1-1)=-5/0#

#"since division by zero is undefined then slope is undefined"#

Mar 11, 2018

Slope=undefined; vertical line

Explanation:

The slope is the change in the y-coordinates over the change in x-coordinates. The formula #m=(y_2-y_1)/(x_2-x_1)# where m is the slope, shows the change from coordinates #y_1# to #y_2# and likewise for the x-coordinates. The order that you choose to input the coordinates doesn't matter as long as the corresponding coordinates don't get mixed up. We'll call #(1,3)# #(x_1,y_1)# and #(1,-2)# #(x_2,y_2)#.

#m=(-2-3)/(1-1)#
#m=(-5)/0#

The formula gives an undefined slope meaning that the line crossing the two points is vertical.