Question

How do you find the slope of the line passing through the points (14,6) and (9,1)?

Answer 1

slope = 1

Explanation:

To find the slope (m ) of a line passing through 2 given coordinate points we can use the `color(blue)"gradient formula"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(a/a)|)))`
where `(x_1,y_1)" and " (x_2,y_2)" are 2 points"`

Here the 2 points are (14 ,6) and (9 ,1)

let `(x_1,y_1)=(14,6)" and " (x_2,y_2)=(9,1)`

`rarrm=(1-6)/(9-14)=(-5)/(-5)=1`

We will obtain the same answer if we 'swap' the points.

let `(x_1,y_1)=(9,1)" and " (x_2,y_2)=(14,6)`

`rArrm=(6-1)/(14-9)=5/5=1`