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Basic method of graphing a linear equation?
Calculate the coordinates of three points, and plot the points on the graph. Draw a straight line through them.To calculate the coordinates, assign any value for "x", replace in the equation, and solve for "y".Note that two points are enough in theory; the third is for additional verification, in case you commit some mistake.
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
Why is it good practice to graph a linear equation by finding and plotting three points instead of two?
In case any of the points has been miscalculated you will not have a straight line - alerting to to the fact that there is a mistake.
Will any 4 points on a graph produce a Cubic equation?
Any 4 points in the Cartesian plane determine a unique equation that is of degree at most three (i.e., a "cubic" equation). It is, of course, possible that the 4 points actually lie on a degree two ("quadratic"), a degree one ("linear"), or a degree zero ("constant") equation. However, if the 4 points do not lie on a constant, linear, or quadratic curve, then they will like on a unique cubic curve. In general, N points will determine a unique curve of degree at most (N-1).
Who discovered linear equations?
View all Sir William Rowan Hamilton invented the linear equation in 1843.
