Question

If the points (–2, 2), (–4, 4), (2, –2), and (4, –4) are joined to form a straight line, at what point does the line intersect the y-axis?

Answer 1

It would be (0, 0) Or 'The Origin'

Answer 2

Answer: Origin=(0,0)

Explanation:

Given points are : (–2, 2), (–4, 4), (2, –2), and (4, –4) .

We can see that for every x,
`y=-x`

hence, the equation of the line is y=-4x

The point where the line intersects the y-axis has y coordinate as 0.

When we put y=0 in the equation, we get

`0=-x\\\Rightarrow\ x=0`

Hence, The point where the line intersects the y-axis =(0,0) which is origin.