Non-collinear points are any group of three or more points that do not fall on the same straight line. More than two points in the group are needed for non-collinear points, since any two points can form a straight line.
Know MoreTo test if points are non-collinear, attempt to draw a line through all the points. If the line must curve to cross through one or more of the points, then the group of points is non-collinear.
The opposite of non-collinear is collinear, which means that the points in a group can form a straight line. Groups of two points are automatically collinear.
Learn more about AlgebraThe way to calculate the equation of a line that includes the points (x,y) and (x1, y1) is to plug them into the equation y - y1 = m(x - x1) and solve for m, the slope of the line. The way to convert this to y = mx + b form is to plug one point and the slope into the same equation and solve for y.
Full Answer >There are two components to the slope of a line: its direction and its magnitude. Find the slope of a line by observing whether, from left to right, the line rises or falls and whether the line is vertical or horizontal. Then, take the coordinates of any two points on the line and divide the difference in the points' y-axis values by the difference in their x-axis values.
Full Answer >An angle is formed by the union of two non-collinear rays that have a common endpoint. This endpoint is the vertex of the angle, and the two rays become the sides of this angle. These two rays can form different types of angles.
Full Answer >Non-coplanar points are any group of points that do not lie along the same geometrical plane. Points are considered coplanar if they lie along the same plane, and are often used to name that plane (e.g. plane ABCD). If a point E does not lie on plane ABCD, point E is non-coplanar with the other points. Points A, B, C and D are coplanar.
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