Question

How do you write the point slope form of the equation given (-8,2) and m=-3/4?

Answer 1

`y-2=-3/4(x+8)`

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=-3/4" and " (x_1,y_1)=(-8,2)`

substitute these values into the equation.

`y-2=-3/4(x+8)" equation in point-slope form"`

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

`rArry-2=-3/4x-6`

`rArry=-3/4x-4" in slope-intercept form"`