Question

How do you find the slope of ( 3,5 ) and ( 2,1 )?

Answer 1

Slope is `m=4`

Explanation:

The equation of slope is

`m = (y_2-y_1)/(x_2-x_1)`

Using the points `(x_1,y_1) (x_2,Y_2)`

For the points `(3,5) (2,1)`

`x_1 = 3`
`y_1 = 5`
`x_2 = 2`
`y_2 = 1`

`m = (1-5)/(2-3)`

`m = (-4)/-1`

`m=4`

Answer 2

`"slope "=4`

Explanation:

To calculate 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 (3 ,5) and (2 ,1)

let `(x_1,y_1)=(3,5)" and " (x_2,y_2)=(2,1)`

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