Question

How do you find the slope given (5,11) & (1,3)?

Answer 1

slope = 2

Explanation:

To find the slope (m ) of a line passing through 2 coordinate points 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 (5 ,11) and (1 ,3)

let `(x_1,y_1)=(5,11)" and " (x_2,y_2)=(1,3)`

Substituting into the formula.

`rArrm=(3-11)/(1-5)=(-8)/(-4)=2`

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