Question

What is the slope of the line passing through the following points: `(3,5) ; (1,0)`?

Answer 1

`"slope "=5/2`

Explanation:

`"to calculate the slope m use the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(3,5)" and "(x_2,y_2)=(1,0)`

`rArrm=(0-5)/(1-3)=(-5)/(-2)=5/2`

Answer 2

The slope is `5/2`.

Explanation:

`(Y_2 - Y_1)/(X_2 - X_1) = m`, the slope

Label your ordered pairs.

(3, 5) `(X_1, Y_1)`
(1, 0) `(X_2, Y_2)`

Plug in your data.

`(0 - 5)/(1 - 3)` = `m`

Simplify.

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

Since two negatives make a positive:

`m` = `5/2`