Question

What is the slope of the line through (-2,-6) and (2,2)?

Answer 1

`"slope" =2`

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"`

The 2 points here are (-2 ,-6) and (2 ,2)

let `(x_1,y_1)=(-2,-6)" and " (x_2,y_2)=(2,2)`

`rArrm=(2-(-6))/(2-(-2))=8/4=2`