Question

What is the equation of the graphed line written in

standard form?
2x + 3y = -6
2x + 3y = 6
Y=-2/3x-2
Y=2/3x-2

Answer 1

We can see that the y-intercept of the line is
`-2` and its slope is
`-(2)/(3)\\` since to get from
`(-3,0)` to
`(0,-2)` we have to run by
`3` units to the right and rise by
`2` units down. The the equation of your line in slope-intercept form is
`y = -(2)/(3)x -2\\`. All we have to do now is to rewrite it in standard form.

`y = -(2)/(3)x -2\\ 3(y) = (-(2)/(3)x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6`

Answer:

`2x +3y = -6`