devantoclark
Answered

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?

Verified Answer :

Siobha

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

JeanaShupp

Answer: Origin=(0,0)

Step-by-step 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.

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