Question

How do you find the slope given (4, 4) and (–5, 2)?

Answer 1

`tan alpha=2/9`

Explanation:

`tan alpha " gives slope of line"`

`tan alpha=(4-2)/(4+5)`

`tan alpha=2/9`

Answer 2

slope `=2/9`

Explanation:

To calculate the slope ( m ) of a line passing through 2 points 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 `(x_1,y_1)" and " (x_2,y_2)" are 2 points"`

let `(x_1,y_1)=(4,4)" and " (x_2,y_2)=(-5,2)`

`rArrm=(2-4)/(-5-4)=(-2)/(-9)=2/9`