Question

How do you write the point slope form of the equation given (-4,-4) and slope 1/5?

Answer 1

`y+4=1/5(x+4)`

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=1/5" and " (x_1,y_1)=(-4,-4)`

Substitute these values into the equation.

`y-(-4)=1/5(x-(-4))`

`rArry+4=1/5(x+4)larrcolor(red)" in point-slope form"`