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
Yes. Every line has an infinite number of distinct points.
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.
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
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.
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
17
Yes