Which of these is the x-intercept of x = 3?
A.) (0,3)
B.) (3,3)
C.) (3,0)
D.) (-3,0), (0,3)
E.) (3,0), (0,-3)

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Question

Which of these is the x-intercept of x = 3?
A.) (0,3)
B.) (3,3)
C.) (3,0)
D.) (-3,0), (0,3)
E.) (3,0), (0,-3)

xoxo, thank you.<3

anonymous · Answer

c

anonymous · Answer

its actually 3 but (3,0) is acquitted

ciarán95 · Answer

Let's imagine we have a 2-dimensional xy-scale (apologies for my bad drawing skills!):
|dw:1435673010221:dw|

When we talk about an x-intercept, we're generally referring to the point at which an object such as a line cuts the x-axis. That is, it is the point on the x-axis that we pass through as the line meets, or 'intersects', the axis. As you may be able to see, this point will always have a y-coordinate of 0, as y is equal to 0 at all places along the x-axis.

x=3 is simply the equation of such a line, where x is equal to 3 the whole time. That means, for the infinite number of points (x, y) which lie along this line, each of them have an x-coordinate of 3. That must mean that the line x=3 is vertical (straight), as shown below:
|dw:1435673661883:dw|

So, if all the points along the line will have a fixed x-coordinate of 3 and some random y-coordinate, if we want to find the point at the x-intercept, where we know the y-coordinate is also fixed, what will that point be?