Question

How do you write an equation of a line with point (2,4) slope 2?

Answer 1

`y=2x`

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)=(2,4)`

`rArry-4=2(x-2)`

distribute and collect like terms.

`y-4=2x-4`

`rArry=2x-4+4rArry=2x" is the equation of the line"`
graph{2x [-10, 10, -5, 5]}