2x+y=-3 SOLVE FOR Y, so subtract 2x from both sides y = -2x -3 slope is -2/1 and intercept is y = -3.
Your first equation is already in slope intercept form where the slope is the coefficient of x and the constant is the intercept where x=0
Slope is the change in y over the change in x so for -2/1 the y value is decreasing 2 units for every step in x of 1 unit.