Question

In what quadrants is the line y = -2x - 3 graphed on the rectangular coordinate system?

Answer 1

This line lies in 2nd, 3rd and 4th quadrant

Explanation:

To find this fact without drawing graph you need to know, that for every linear function `f(x)=ax+b`

1) If `a>0` and `b=0` then the graph lies in 1st and 3rd quadrant, if `b>0` graph lies also in 2nd quadrant, else if `b<0` graph lies in 4th quadrant,

2) If `a<0` and `b=0`, graph lies in 2nd and 4th quadrant, if `b>0` then graph goes also through 1st quadrant, else if `b<0` graph lies in 3rd quadrant.