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What else can I help you with?
Any non-vertical line in the Cartesian coordinate plane can be defined by a linear equation of the form y ax?
i promise. its false.
If you are given the graph of a line in an xy-plane and its corresponding equation you can be sure that the coordinates of every point on that line will satisfy the equation?
Yes, I'm confident of that.
Does an equation allow you to find the x and y coordinates of any point on the xy plane?
Yes if it is a straight line equation
Three what points determine a plane?
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.
An equation for a line in the xy-plane allows you to find the value of ygiven x?
TRUE
Are A linear equation determines a line in the xy-plane?
Yes, the world "linear" and "line" have the same root.
An equation whose solutions form a straight line on a coordinate plane?
A linear equation.
What is the other term for the straight line in a cartesian plane?
A straight line on the Cartesian plane is the graph of a linear equation.
What is the relation between straight lines and linear equations?
The graph, in the Cartesian plane, of a linear equation is a straight line. Conversely, a straight line in a Cartesian plane can be represented algebraically as a linear equation. They are the algebraic or geometric equivalents of the same thing.
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.
Why is y equals ax plus b called the linear equation?
It is not. It is called a LINEAR equation. This is because the word linear refers to a line and, if the solutions of the equation, in the form of ordered pairs (x,y), were plotted on a Cartesian plane, they would all lie on a straight line.
What is the solution of an equation with 2 variables x and y?
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
Why are linear equations called linear equations?
Because, if plotted on a Cartesian plane, all solutions to the equation would lie on a straight line.
What is -3x-y equals 3?
-6
How did you graph a linear equation in two variables?
By using the formula for a straight line equation graphed on the Cartesian plane by means of the x and y axes.
When does an equation graph a line?
When it is a linear equation.
What is the name of an equation of a line?
It is a linear equation.
