Question

How do you find the slope of the line that passes through (8,10), (-4,-6)?

Answer 1

`"slope "=4/3`

Explanation:

To find the slope ( m ) 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 `(x_1,y_1),(x_2,y_2)" are 2 coordinate points"`

The 2 points here are (8 ,10) and (-4 ,-6)

let `(x_1,y_1)=(8,10)" and " (x_2,y_2)=(-4,-6)`

`rArrm=(-6-10)/(-4-8)=(-16)/(-12)=4/3`