Question

How do you find the slope of the line passing through points (2,1) and (-7,4)?

Answer 1

`"slope" =-1/3`

Explanation:

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

`color(orange)"Reminder " 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 points on the line"`

Here the 2 points are (2 ,1) and (-7 ,4)

let `(x_1,y_1)=(2,1)" and " (x_2,y_2)=(-7,4)`

`rArrm=(4-1)/(-7-2)=3/(-9)=-1/3`