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

Answer 1

Eva Abramson

#"slope is undefined"#

#"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"#

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Answer 2

Eva Adamson

Slope=undefined; vertical line

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.

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Answer 3

Hazel Anglin

The slope of the line passing through the points (1,3) and (1,-2) is undefined.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.