Question

How do you use the slope formula to determine the slope of the line containing points A(7,-4) and B(3, -5)?

Answer 1

slope `=1/4`

Explanation:

The `color(blue)"slope or gradient formula"` is.

`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 (7 ,-4) and (3 ,-5)

let `(x_1,y_1)=(7,-4)" and " (x_2,y_2)=(3,-5)`

`rArrm=(-5-(-4))/(3-7)=(-1)/(-4)=1/4`

The same value is obtained if the 2 points are ' swapped'