Question

How do you find the slope given (1,-1); (-2,-6)?

Answer 1

The slope is `5/3`.

Explanation:

This problem can be solved using the slope formula, `m = (y_1-y_2)/(x_1-x_2)`

Use the two points given and plug them into the equation. I am using (1,-1) as Point 1 and (-2,-6) as Point 2.
`m = (-1--6)/(1--2)`

The double negatives each cancel out to be a positive (addition).
`m = (-1+6)/(1+2)`

From here, it is simply addition to completely simplify the expression into a slope.

`m = 5/3`