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Katen [24]
3 years ago
9

Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?

Mathematics
1 answer:
dlinn [17]3 years ago
7 0
3y + 4x = 8 represents a line on the x-y plane, looking like the image I attached.

To find the x-intercept means to find the place where the line intersects the x-axis. If the line is intersecting the x-axis, then the point where it intersects the x-axis must be a place where y = 0. If y didn't equal 0, then that point wouldn't be on the x-axis.

So, to find the x-intercept, we set y in the given equation to 0, like this:
3y + 4x = 8

3(0) + 4x = 8
4x = 8
x = \frac{8}{4}
x=2
So, x=2. We assumed that y=0 to find the x-intercept at the beginning. Then, our ordered pair in the usual order (x,y) is (0,2). You can see this is correct by looking at the attached graph.

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