Question

How do you find the slope of the line that passes through the points A(0,2) and B(4,-1)?

Answer 1

`"slope "=-3/4`

Explanation:

To find the slope use the `color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 points on the line"`

The 2 points here are (0 ,2) and (4 ,-1)

let `(x_1,y_1)=(0,2)" and " (x_2,y_2)=(4,-1)`

`rArrm=(-1-2)/(4-0)=(-3)/4=-3/4`