Question

How do you find a standard form equation for the line with (-2,-4) with a slope of 3?

Answer 1

`y=3x+2`

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 and `(x_1,y_1)=(-2,-4)`

substitute these values into the equation.

`rArry+4=3(x+2)" is equation in point-slope form"`

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

`y+4=3x+6rArry=3x+2" in slope-intercept form"`