Question

How do you write the equation in point slope form given (9,0); m=-5?

Answer 1

`y-0=-5(x-9)`

Explanation:

The equation of a line in `color(blue)"point-slope form"` is

`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)` a point on the line.

here m = - 5 and `(x_1,y_1)=(9,0)`

substitute these values into the equation.

`y-0=-5(x-9)" in point-slope form"`

It is usual, however, to distribute the bracket and collect like terms.

`rArry=-5x+45" in slope-intercept form"`