Question

Question #bdab0

Answer 1

`-1/4`

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 (5 ,2) and (-3 ,4)

let `(x_1,y_1)=(5,2)" and " (x_2,y_2)=(-3,4)`

`rArrm=(4-2)/(-3-5)=2/(-8)=-1/4`

The result would be the same if the 2 points were ' swapped'