Question

How do you find the slope of the line that passes through (1/2, 2/3), (5/6, 1/4)?

Answer 1

`"slope "=-5/4`

Explanation:

`"to calculate 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)" are 2 coordinate points"`

`"the points are " (x_1,y_1)=(1/2,2/3),(x_2,y_2)=(5/6,1/4)`

`rArrm=(1/4-2/3)/(5/6-1/2)=(3/12-8/12)/(5/6-3/6)=(-5/12)/(1/3)=-5/4`