Always
Unique line assumption. There is exactly one line passing through two distinct points.
The slope is -9.
If you mean points of (-2, -1) and (3, 5) then the slope is 6/5
If you mean points of (055, 18) and (566, 81) then the slope works out as 9/73
y=-x
Always; although that line can lie in infinitely many planes.
it always lies in that plane
Unique line assumption. There is exactly one line passing through two distinct points.
If the line passing through these points is a straight line then it has a positive gradient.
No, a secant line does not pass through the center of a circle. A secant line is a line that intersects a circle in two distinct points. Only a line passing through the center of a circle is called a diameter.
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
A chord and the circle's diameter is its largest chord
You can have an infinite number of planes passing through three collinear points.
Another set of points are needed to find the slope.
thanks you for your help
Through any two fixed points, exactly one distinct line can be drawn. This is a fundamental principle in geometry, as two points uniquely determine a straight line. No other line can pass through both points, ensuring the uniqueness of the line connecting them.
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