Question

What is the slope of the line that passes through the points (6, 4) and (-3,-7)?

Answer 1

Answer:
`(11)/(9)`

Explanation:

When we want to find a slope with just two coordinates, we need to use the slope equation (where m represents slope):

`m = (y_2 - y_1)/(x_2 - x_1)`

Either coordinate can represent 2 or 1, but I always like to choose the coordinate with the higher x value, because it makes more sense to me. So my coordinate 2 will be (6, 4) and coordinate 1 will be (-3, -7).

We can then plug that in to the previous equation:
`m = (4 - (-7))/(6 - (-3)) = (11)/(9)`

I hope this helps, and if you need anything explained please let me know.