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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

User WillEnsaba
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8.6k points

1 Answer

2 votes

Answer:

(0, 0)

Explanation:

(-4, 4), (-2, 2), (2, -2), (4, -4)

To start off, we need to find the slope of the line. To find the slope, we find the change in y over the change in x. We can take any two points on the line, so let's use (2, -2) and (4, -4). We subtract -2 (the first y-value) from -4 (the second y-value), and get -4--2 or -4+2, resulting in -2. Then, we subtract 2 (the first x-value) from 4 (the second x-value) to get 4-2, resulting in 2. Next, we divide -2 by 2, resulting in -1. Therefore, the slope of the line is -1.

Now that we know the slope, we can solve for the y-intercept from any of the points. Let's take (2, -2). Since the slope is -1, we can subtract 1 from both the x and y values to get the point (1, -1). Then we can do that again to get the point (0, 0).

This is our final answer because the x-value is 0, meaning the line would be intersecting the y-axis.

User Akbari
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