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If three points are coplanar then are they collinear?
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
Can you give an example of collinear point?
As defined by Math Open Reference: collinear points are points that lie on the same line. Any series of points with a yvalue of 4, for example, will be collinear since they lie on the same line. Lines formed by collinear points can have any slope and be located anywhere on a co-ordinate plane. The Math Open Reference link shows a working visual example of collinear points.
Does a plane containing 2 points of a line contains the entire line?
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
Slope intercept form of (-23) (1-1)?
HOW TO FIND THE SLOPE AND Y-INTERCEPT OF A LINEto find the slope, you need 2 coordinates on the line. So, 2 sets of (x, y) which will be:(x1,y1) and (x2,y2) you will then perform the following to find the slope of the line(y2-y1)/ (x2-x1). (so you do y2-yi divided by x2-x1) This is how you find the slope.If you want to find the y-intercept (represented by the variable b), substitute one of your given points (from question 1) and your slope (which is represented by the variable m) into this equation:y= mx + bSo, you know the values of x, y (your coordinates) and m (your slope). Substitute the values to solve for b. Then, this will be your final equation of the line.Remember that if the lie goes down from left to right, the slope is negative. If the line goes up from left to right, the slope is positive.* Important To Remember*-If the line is horizontal, the slope is zero-If the line is vertical, the slope is UNDEFINED-If a line goes vertically on the x- axis the equation will be "x = that number that crosses the x- axis" since the line will not have a y-intercept since it doesn't cross the y- axis.*TIPS*When doing questions with slopes and y-intercepts, graph the line first!
What is the answer to the euler line segment conjecture?
The centroid, circumcenter and orthocenter are the 3 points of concurrency that always lie on a line.
