Question

How do you write an equation of a line with point (2,5) and slope -2?

Answer 1

`y=-2x+9`

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"`

here `m=-2" and " (x_1,y_1)=(2,5)`

substitute these values into the equation.

`rArry-5=-2(x-2)`

distribute the bracket and collect like terms.

`y-5=-2x+4rArry=-2x+4+5`

`rArry=-2x+9" is the equation"`