Question

What is the slope of the line passing through `(1,-1); (-2,-6)`?

Answer 1

`m=-5/3`

Explanation:

determine the slope:

`(color(blue)(x_1),color(blue)(y_1)) = (1,-1)`

`(color(red)(x_2),color(red)(y_2))=(-2,-6)`

`color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))`

`color(green)m =(color(red)(-6)-color(blue)((-1)))/(color(red)(-2)-color(blue)(1))=-5/3`