Question

How do you find the slope of the straight line that passes through (–2, –4) and (3, –5)?

Answer 1

slope`=-1/5`

Explanation:

To find the slope (gradient) of the line passing through the 2 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)=(-2,-4)" and " (x_2,y_2)=(3,-5)`

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