Question

What is the slope of the line passing through `(1,-1); (-4,-8)`?

Answer 1

A slope's gradient (`m`) is equal to its rise (change in y value), over run (change in x value) or `(y_2 - y_1)/(x_2 - x_1)`.
Let `(x_1,y_1) = (1,-4)` and `(x_2,y_2) = (-4, -8)`.
Substituting our values into this formula and solving, we get:
`m = (-8+4)/(-4-1)`
`m = (-4)/-5`
`m = 4/5`
Therefore the gradient of the slope is `4/5` or `0.8`.

Answer 2

The slope of the line is `7/5`

Explanation:

The slope of the line passing through `(1,-1) and (-4,-8)` is

`m= (y_2-y_1)/(x_2-x_1)= (-8+1)/(-4-1)= (-7)/-5=7/5`

The slope of the line is `7/5` [Ans]