An axiom of Euclidean geometry.
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The purpose is to easily convey the slope of a line and a point it passes through in algebraic form. With these two pieces of information it is possible to map a line in in 2D space.
Point-slope form is just another way to express a linear equation. It uses two (any two points that fall on the line) and the slope of the line (Therefore the name point-slope form).y2 - y1 = m(x2 - x1)...with m as the slope.
They form a vertex because they are line segments. An angle is two rays with the same point
You need either a point and the slope of the line or two points. Then you use the point slope form of the line or the slope intercept form to write the lines.A given point has an infinite number of lines going through it, that is why you need more information.
that is one point, you need at least two for a line.