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How about "is always zero"?

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Q: The y-intecept of a line through the orgin is never zero?
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What is the equation of the line that passes through the orgin and has a gradient of -4?

y = -4x


Does the slope of a line through a orgin is always defined?

No. The y axis passes through the origin but its slope is not defined.


What is the origins on the number line?

where thair located on the number line or where the orgin + a-t-e


What is the common name given to a line with undefined slope whose x-intercept is the orgin?

That line is commonly, and correctly, referred to as the 'y-axis'.


A line passing through the midpoint of a chord always sometimes or never passes through the center of the circle?

the answer is always


What line intersect through parallel lines?

A transversal line cutting through parallel lines creates various angles


Can a line with slope 0 never pass through point 00?

Of course it can and it does: it is the x-axis.


Can a circle pass through three points of a straight line?

No, a circle can never pass through three points of a straight line. The circle will touch 1) no points of the line, 2) one point of the line (which is now tangent to the circle), or 3) two points of the line. A line can contain (at most) twopoints that lie on the line.


Is the reflection of a figure in the x-axis equivalent to the rotation of that same figure 180 about the orgin?

It can be but in general a reflection in a line produces a 'mirror image'


What is a never ending line in geometry?

A never ending line goes to infinity, so that line is called Infinite.


What line is never ending in geometry?

A never ending line goes to infinity, so that line is called Infinite.


What is it called when a line never stops?

A line.