Question

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

Answer 1

slope = - 4

Explanation:

To find the slope use the `color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 coordinate points"`

here the 2 points are `(1,-1)" and " (1/2,1)`

let `(x_1,y_1)=(1,-1)" and " (x_2,y_2)=(1/2,1)`

`m=(1-(-1))/(1/2-1)=2/(-1/2)=-4" is the slope of the line"`