Question

What is the slope of the line passing through points (1,3) and (7,5)?

Answer 1

`"slope" =1/3`

Explanation:

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

The 2 points here are (1 ,3) and (7 ,5)

let `(x_1,y_1)=(1,3)" and " (x_2,y_2)=(7,5)`

`rArrm=(5-3)/(7-1)=2/6=1/3`

The result is the same if the 2 coordinate points are ' swapped'.