Question

How do you find the slope of the line passing through the points (7, -6) and (-13, 4)?

Answer 1

slope`=-1/2`

Explanation:

To find the slope of a line passing through 2 given 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"`

let `(x_1,y_1)=(7,-6)" and " (x_2,y_2)=(-13,4)`

`m=(4-(-6))/(-13-7)=10/(-20)=-1/2`