my equation is y= -x-3. the y-intercept is (0,-3) and the slope is -1. if i were to draw a chart starting from x being -3. would it be like this:

(-3,0)
(-2,-1)
(-1,-2)
(0,-3)
(1,-4)
(2,-5)
(3,-6)

just want to know if it is correct

your points are correct