0
How would you find the equation for a linear function when you are given a table of values for the variables?
Wiki User
∙ 10y ago
If the figures in the table are exact and without measurement error then take any two of the points (x1, y1) and (x2, y2) and use these to form the linear relation
y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
If, however, you suspect that the values in the table do not exactly follow a linear relationship then use linear regression for which formulae are provided in wikipedia.
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
If the ordered pair (3-2) satisfies one of the two linear equations in a system how can you tell whether the point satisfies the other equation of the system?
Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.
How do you know if an equation is linear?
You know if an equation is linear if it is a straight line. You can also know if the equation is y = mx + b where there are no absolute values nor exponents.
What is the definition of literal equation?
Literal equation refers to an equation in which the variables represent known values. This type of equation allows the representation of things like distance, interest, time, and slope as variables in an equation.
The set of permissible replacement values for the variables in a particular equation or inequality is called the what for that equation or inequality?
It is called the DOMAIN!
What is the difference between a function and an equation?
A function describes a relation between several variables. For example the function f(x)=x2 describes a mapping from the variable x to a value that is the square of x. That is, for every real number we put as x, we will get a value for f(x). A function is defined for some domain and gets values from some range. An equation takes two terms and says they are equal. Usually both terms are functions of the same variable(s). For example, to build the equation x2 = x+2, we will use f(x) = x2, g(x) = x+2 and say that f(x)=g(x). Solving an equation means finding the set of values of the equation's variables which satisfy the equation. This set of values has to be part of the domains of the functions in both terms of the equation.
What is the difference between a linear equation with one variable and a linear equation with two variables?
A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.
What is a graphical linear function?
A linear function that is displayed on a graph or a graphical device. Where the function's different values for n variables can be iterated or cross-referenced with other functions.
What is y equals 1x plus 6?
It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.
Is there an explicit solution to a single linear equation with two variables?
Such an equation has an infinite set of solutions. You can solve the equation for one variable, in terms of the other. Then, by replacing different values for one of the variables, you can get different solutions.
How do you find a point of a linear function?
Given a linear function in n variables, you need to select values for (n-1) of the variables. Solve the resulting function for the nth variable. Then the ordered n-tuple represents the coordinates, in n-dimensional space, of a point that is on the linear function.Selecting different sets of (n-1) variables, and different values will result in different solutions. Together, these will from a line in n-dimensional space.
What are 3 different methods that can graph a linear equation?
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
What are you trying to find when solving a system of linear equations?
You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.
What information does and equation tell you?
the relationship between variables and/or variables and values
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is the solution to the equation?
It is the set of values for all the variables in the equation which make the equation true.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
What are the variables in this equation 3ab plus c over 2?
The variables of this equation are your letters: a, b, and c. Variables merely stand in an equation to represent values that we don't know. "Solving" an equation is the process by which we uncover those values. In this particular case, since there are three variables, we cannot discover their values unless we have two other equivalent equations (a system of equations).
