Question

How do you write the point slope form of the equation given (-6,-2) and m=3?

Answer 1

`y+2=3(x+6)`

Explanation:

The point-slope form of a line is `y-y_1=m(x-x_1)`. Substitute the given values into the equation.

`y-y_1=m(x-x_1)`

`y-(-2)=3(x-(-6))`

`y+2=3(x+6)`

Answer 2

`y+2=3(x+6)`

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=3" and " (x_1,y_1)=(-6,-2)`

`rArry-(-2)=3(x-(-6))`

`rArry+2=3(x+6)larrcolor(red)" in point-slope form"`