Question

How do you find the slope of the line passing through (2,5), (-5,8)?

Answer 1

`"slope "=-3/7`

Explanation:

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

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

The 2 points here are (2 ,5) and (-5 ,8)

`"let "(x_1,y_1)=(2,5)" and " (x_2,y_2)=(-5,8)`

`rArrm=(8-5)/(-5-2)=3/(-7)=-3/7`