Question

at what point does the line intersect the y - axis?
(-3,0)
(0,-3)
(0,3)
(3,0)

Explanation:

Step1: Recall the property of y - axis intersection

The x - coordinate of a point on the y - axis is \(0\). So we can eliminate options \((-3,0)\) and \((3,0)\) since their x - coordinates are not \(0\).

Step2: Analyze the remaining options

For a point \((x,y)\) on the y - axis (\(x = 0\)), if we consider the general form of a line \(y=mx + b\) (where \(b\) is the y - intercept). When \(x = 0\), \(y=b\). If we assume a simple line (for the sake of understanding the intersection concept), the intersection point with the y - axis has the form \((0,y)\).

Answer:

\((0,-3)\)