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How many points are needed to graph a linear equation Why is it always a good idea to use more points?
Wiki User
∙ 9y ago
Two points are sufficient to uniquely determine a straight line. It is generally best to select point that are as far apart as possible.
It is also a good idea to pick one extra point somewhere between the two extremes. It does not need t be exactly in the middle. This point acts as a check. If the three points are not in a straight line then there is an error in one of the calculations so you need to check back. If the points are in a line you should be OK. It is, of course, possible, that you made two (or more) matching errors but, hopefully, that is not very likely.
Wiki User
∙ 9y ago
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What is a solution of a linear equation in two variables?
The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.
Can you write a linear equation in the slope intercept form using the points (34) and (58)?
If you mean points of (3, 4) and (5, 8) then the slope is 2 and the equation is y=2x-2
Why are there usually two solutions to a quadratic equation?
In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.
What linear equations are not functions?
Yes. Any linear equation of the form x = c (meaning that the coefficient of y is zero and that the graphed line is vertical) is not a function, as all points are verticaly above or below every other point. This is by definition a nonfunction.
How do you solve a linear equation that doesn't have a Y in it?
AnswerWhat's the equation???ORIf there is no Y in the equation it is a vertical line at that place. For example x = 1 indicates a vertical line drawn straight up and down parallel to the y-axis through the points (1, 00, (1,1), (1,2), (1,3), etc.
How do you make a linear equation go through three points?
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.
Is the two points form equation the same as linear equation?
The equations are equivalent.
What is a solution of a linear equation in two variables?
The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.
Why are linear equation and linear inequalities not solved in the same manner?
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
State max number of points lie on graph of linear equation in two variables to represent this statement?
There is no "this statement" associated with the question, but the maximum number of points which lie of the graph of a linear equation in two variables is infinite.
What does the line represent when you graph a linear equation?
It is the locus of all points whose coordinates satisfy the equation of the line.
Math problems what is a set of points forming a straight path extending?
It is the set of points satisfying a linear equation.
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
What is 2x-3y equals -2?
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
What is a linear equation with a undefined slope?
A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed
Define the system of linear equation?
its an equation that you can graph and when the points are connected, it makes a line. usually includes variables x and y.
What is the linear equation of x equals -4 and y equals -1 over 3?
A linear equation is the equation of a line and that consists of an infnite number of points. What you have, in x = -4 and y = -1/3, is a single point. A single point is not a line and so there cannot be a linear equation (suitable for a line) to represent a point.
