In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
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.
Three non-co-linear points are sufficient to uniquely define a single plane.
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).
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.
View all Sir William Rowan Hamilton invented the linear equation in 1843.
A plane. A circle can also pass through three non-co-linear points.
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.
Three non-co-linear points are sufficient to uniquely define a single plane.
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).
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.
No, they are simply three expressions: there is no equation - linear or otherwise.
Single answer. Coincidental (same equation), No solution.
View all Sir William Rowan Hamilton invented the linear equation in 1843.
co-linear points?
Yes. Three co-linear points define a line, and therefore also lie on a plane, but those three points do not necessarily define only one plane. You need three points, not co-linear, to uniquely define a plane. See Related Links below for more information.
A linear equation in three variable.
Do you mean linear programming?Simply put, you have to maximize/minimize, a linear equation (e.g. a = 2x + 3y) subject to constraints (e.g. x>4; y>7; x,y>0)(to solve the example, graph x=4 and y=7 and x,y=0. determine the area where all these three conditions are possible and find the coordinates of the points where there are intersections. Substitute these coordinates into the linear equation, a=2x+3y. The coordinate where a is highest is where you maximize the linear equation, while the coordinate where a is lowest is where you minimize the linear equation.)here's a link to an article on wikipedia about linear programmingen.wikipedia.org/wiki/Linear_programming