Question

How do you find the slope of (6, -4) and (6, -11)?

Answer 1

slope is undefined.

Explanation:

To find the slope 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 `(x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points"`
and m represents the slope.

The 2 points here are (6 ,-4) and (6 ,-11)

let `(x_1,y_1)=(6,-4)" and " (x_2,y_2)=(6,-11)`

`rArrm=(-11+4)/(6-6)=(-7)/0`

Now, division by zero is undefined, hence the slope is undefined.

This indicates that the line is parallel to the y-axis (a vertical line)
graph{y-1000x+6000=0 [-10, 10, -5, 5]}