Question

How do you find the slope given (0,2) (0,-3)?

Answer 1

slope is undefined.

Explanation:

Since the x-coordinates of both points are equal (0) then the line passing through them will be vertical. That is parallel to the y-axis (in fact it is the y-axis ) Plot these points and you should see that. A line parallel to the y-axis has an undefined slope.

Alternatively , use the `color(blue)"gradient formula"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 points"`

Here the 2 points are (0 ,2) and (0 ,-3)

let `(x_1,y_1)=(0,2)" and " (x_2,y_2)=(0,-3)`

`rArrm=(-3-2)/(0-0)=(-5)/0`

Since division by zero is undefined then slope (m) is undefined.
graph{y-1000x+0=0 [-10, 10, -5, 5]}