The position and value of any two observations. In terms of coordinates, (x1,y1) and (x2, y2) for any two points provided that x1 is not the same as x2.
the Equation of a Line Given That You Know Two Points it Passes Through.
This kind of question usually accompanies a specific table of ordered pairs. The idea is that the ordered pairs take the form of (x, f(x)) where the first number of the ordered pair x, is a value of the variable for some equation. When that value is used in place of the variable in the equation, we can calculate a specific value. That calculated value appears as the second value of the ordered pair and is represented by f(x) above. Typically the equation is relatively simple, such as a linear equation or a quadratic equation. Therefore, in order to determine the equation, we have to know exactly what the ordered pairs are.
When you see the actual function (e.g. f(x) = ...) you can know what each input corresponds to, and can construct any table. If you are given just the table, you cannot always predict the function correctly, since the function the table seems to represent does not necessarily have to be that function. For example, it might seem that x : f(x) -2 -4 -1 -2 0 0 1 2 2 4 would correspond to f(x) = 2x, but this is not necessarily the case. There could be some arbitrary function that just happens to contain those five points.
To solve linear equations, you always use the inverse operations
It is in a strait line.
plotting a slope means plotting a graph of y against x.to get the linear function ,the only thing to do is to know whether the value of y and the equivalent value of x at the point if its a well plotted slope normally any choosen point will be the same .assuming it is not a curve.if not replot.
A linear function has and x and a y and neither one is raised to a power other than 1.
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
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.
F is linear when F(a+b) = F(a) + F(b) and if F(Ax) = AF(x) where A=constant
Sure; a linear function such as this one can be equal to ANY real number.To know at what value of "x" this happens, just solve the equation 52x = 200. (Note: This will not be a whole number.)
If the variable x is raised to the power of 1 or 0. No other possibilities.
Yes, y=-5x+3 is a linear function. We know that by two factors. First, if you plot the function, you find that it draws a straight line, hence the term linear. Second, if you inspect the non-constant terms, you find that all of the are in the first power, i.e. there are no "squareds", "cubes", square roots", etc. This also makes it s linear function.
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
With a formula, you know the variable's value, and you have to calculate the value of the function of it. With an equation, you know the function's value, and you have to calculate the value of the variable.
The position and value of any two observations. In terms of coordinates, (x1,y1) and (x2, y2) for any two points provided that x1 is not the same as x2.