Question

What is the equation of the line with slope `m= -1` that passes through `(-2,11)`?

Answer 1

`y=-x+9`

Explanation:

Begin by writing the equation in `color(blue)"point-slope form"`

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

here m = - 1 and `(x_1,y_1)=(-2,11)`

`rArry-11=-1(x+2)`

simplifying.

`y-11=-x-2`

`rArry=-x+9" is the equation of the line"`