Question

What is the slope of the line passing through the following points: # (1/3, 2/5 ) , (-1/3, 3/5)?

Answer 1

slope `=-3/10`

Explanation:

To calculate the slope of a line passing through 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)=(1/3,2/5)" and " (x_2,y_2)=(-1/3,3/5)`

Substitute these values into the formula.

`m=(3/5-2/5)/(-1/3-1/3)=(1/5)/(-2/3)=1/5xx-3/2=-3/10`

`rArr" slope of line "=-3/10`