Question

How do you write an equation of a line given point `(3,-3) and m=1/3`?

Answer 1

`y=1/3x-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=1/3" and " (x_1,y_1)=(3,-3)`

`y-(-3)=1/3(x-3)`

`rArry+3=1/3(x-3)larrcolor(red)" in point-slope form"`

`"distributing and simplifying gives"`

`y+3=1/3x-1`

`rArry=1/3x-4larrcolor(red)" in slope-intercept form"`