Question

How do you find the slope of (-6,-3) and (-6,6)?

Answer 1

`" slope is undefined"`

Explanation:

To calculate the slope use the `color(blue)"gradient formula"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where `(x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points"`

The 2 points here are (-6 ,-3) and (-6 ,6)

let `(x_1,y_1)=(-6,-3)" and " (x_2,y_2)=(-6,6)`

`rArrm=(6-(-3))/(-6-(-6))=9/0`

Division by zero is undefined, hence slope is undefined.

Note that both points have an x-coordinate of - 6. This informs us that the line is vertical and parallel to the y-axis and the slope of a vertical line is undefined. If this is noted then the gradient formula need not be used.
graph{y-1000x-6000=0 [-10, 10, -5, 5]}