Question

How do you write the point slope form of the equation given m=-5 and (7,2)?

Answer 1

`y-2=-5(x-7)`

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=-5" and " (x_1,y_1)=(7,2)`

substitute these values into the equation.

`y-2=-5(x-7)larrcolor(red)" in point-slope form"`