Suppose the table has two columns, one for a variable X and the other for a variable Y.
Suppose
xi is associated with yi
for i = 2, 3, etc.
If, y1 - yj = k(x1 - xj) where k is the same constant for each index j, then the equation is linear.
If the values of X are evenly spaced, the task is easy. All you need check is that the values of Y are also evenly spaced. But the Xs may not be evenly spaced.
I'm not sure how you managed to get your equation into a table form. So perhaps try multiply each pronumeral by an exponential of the index of the third pronumeral cow
You can easily tell by substituting 0 for a.
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
If the two equations are linear transformations of one another they have the same solution.
For a linear I can see no advantage in the table method.
I'm not sure how you managed to get your equation into a table form. So perhaps try multiply each pronumeral by an exponential of the index of the third pronumeral cow
You can easily tell by substituting 0 for a.
A linear equation always has a degree of one because the slope has to be constant to form a line. So, x + 7 is linear, 7 - x is linear, 4x - 3.7 is linear, but anything with x2 , etc. is not linear.
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
Difficult to tell because of problems with the browser. 4x = 2x IS a linear equation whose solution is x = 0
Using the line of best fit, yes.
If it is in a y=mx+b format. Also, if there is a slope and a constant in the equation.
An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.
If the two equations are linear transformations of one another they have the same solution.
An equation (note spelling) is linear if it is made up exclusively of constants and of unknowns raised to the first power (e.g., 'z', as opposed to 'z^2')
It depends on which calculator! If the data is linear, you can estimate the slope of the line and the y-intercept from graphing the data. By graphing the data, you will be able to tell if it forms a straight line or not.