Find the slope of line passing through the points (5, 9) and (5, -2)

Question

danjs · Answer

hello, welcome to open study!

danjs · Answer

do you recall the slope formula

slope = difference in y / difference in x

danjs · Answer

$$slope = \frac{ y - y1 }{ x-x1 }$$

where the two points are

(x,y) = (5, 9)
(x1,y1) = (5, -2)

plug in the values, and calculate. .

danjs · Answer

@emilypfranta

anonymous · Answer

solve it @emilypfranta

anonymous · Answer

i got 11

danjs · Answer

(-2-9) / (5-5) = -11 / 0

Do you know what dividing by zero means

danjs · Answer

The slope is undefined here, or you could say infinity i guess. It is a VERTICAL line.
Notice the X values are the same for both points, 5

danjs · Answer

Here is Your line connecting those 2 points

anonymous · Answer

Okay i had my answer as undefined at first, but i wasn't sure how to solve it. Now i understand.

danjs · Answer

that is one of the special cases.. 

#/0  =  Slope Undefined, Vertical Line

0/#  =  Zero Slope, Horizontal line