Question

How do you write the point slope form of the equation given m=2/3 and (3,2)?

Answer 1

`y-2=2/3(x-3)`

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=2/3" and " (x_1,y_1)=(3,2)`

`"substitute these values into the equation"`

`rArry-2=2/3(x-3)larrcolor(red)" in point-slope form"`