Question

How do you find the slope of the line through each pair of points (-2,3) (3,5)?

Answer 1

`"slope"=2/5`

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 points on the line"`

The 2 points here are (-2 ,3) and (3 ,5)

let `(x_1,y_1)=(-2,3)" and " (x_2,y_2)=(3,5)`

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