determine the slope and y-intercept of each line then graph it

Question

3x+y=-2               m=_______       b=_________

Answer 1

You want to start by isolating y on the left. In your equation you can subtract 3x from both sides to achieve it.

y = -3x - 2

The resulting equation is in slope-intercept form y = mx + b so in this case we have m = -3 and b = -2

Now the y-intercept point is always (0,b), which in this case is (0,-2).

For the other point, use:

slope = rise / run

In this case this is -3 so you can go right 1 and down 3 and wind up with (1,-5) as another point.

Now draw a straight line through the two points.