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.