Question

How do you find the slope given (4,5) and (-6,5)?

Answer 1

`0`

Explanation:

Slope is given by `"rise"/"run"`, or the change in the `y` coordinate divided by the change in `x`. Mathematically this is written as

`(deltay)/(deltax)`

You calculate it by taking the second coordinate and subtracting the first, so

`(deltay)/(deltax) = (y_2 - y_1)/(x_2 - x_1)`

`= (5 - 5)/(- 6 - 4) = 0/-10 = 0`

You could also recognise that there is no actual increase in the `y` value between the two points, so it must be a flat, horizontal line, and so the gradient is just `0`.