Question

How do you find the slope of (2,5); (9,1) without a graph?

Answer 1

slope`=-4/7`

Explanation:

To find the slope (m ) we can 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"`

Here the 2 points are (2 ,5) and (9 ,1)

let `(x_1,y_1)=(2,5)" and " (x_2,y_2)=(9,1)`

`rArrm=(1-5)/(9-2)=(-4)/7=-4/7`