Question

How do you write the equation in point slope form given (0,8) and (-1,10)?

Answer 1

`y-10=-2(x+1)`

Explanation:

`"the equation of a line in "color(blue)"point-slope form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1)" a point on the line"`

`"to calculate m 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 `(x_1,y_1),(x_2,y_2)" are 2 coordinate points"`

`"the points are " (x_1,y_1)=(0,8),(x_2,y_2)=(-1,10)`

`rArrm=(10-8)/(-1-0)=2/(-1)=-2`

`"use either of the 2 given points for " (x_1,y_1)" in equation"`

`"using " m=-2" and " (x_1,y_1)=(-1,10)`

`y-10=-2(x-(-1))`

`rArry-10=-2(x+1)larrcolor(red)" in point-slope form"`