Question

What is the slope of the line passing through the following points: `(1,5) ; (-3, -2)`?

Answer 1

Slope is `7/5`

Explanation:

If the two points are `(x_1, y_1)` and `(x_2, y_2)`, the slope of the line joining them is defined as

`(y_2-y_1)/(x_2-x_1)` or `(y_1-y_2)/(x_1-x_2)`

As the points are `(1, 5)` and `(-3, -2)`

the slope is `(5-(-2))/(1-(-3)` or `(5+2)/(1+4)`

i.e. `7/5`