The equation isn't quite clear - some symbols get lost in the questions. In any case, you can solve the equation for "y", then replace some values of "x" and use the equation to calculate the corresponding values for "y".
It depends on the value given in the table.
A table of values is no use if the domain is infinite.
There are three ways: a table, a graph, and an equation.
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.
Depends what the graph is.
The equation which remains true for each set of variables in the table.
You could put the equation in slope-intercept form or in parent linear function or even make a table of values.
Simply learn and use the quadratic equation formula.
Which of the following is a disadvantage to using equations?
Unanswerable in current form. Perhaps an"equation chart" is a table of values?
Data Table
Given a value for the variable x, you find (calculate) the corresponding value of y. These (x, y) pairs are part of the table. You cannot complete the table because there are infinitely many possible values of x.
table of values,x and y-intercept and slope and y-intercept
To create a function table with equations, first identify the function or equation you want to analyze, such as ( y = 2x + 3 ). Next, choose a set of input values (x-values), often ranging from negative to positive numbers. Calculate the corresponding output values (y-values) by substituting each x-value into the equation. Finally, organize the x-values and their corresponding y-values in a table format to visualize the relationship between them.
To determine the equation of a line from a table of values, first identify two points from the table, typically represented as (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the point-slope form of the equation ( y - y₁ = m(x - x₁) ) to derive the line's equation, or convert it to slope-intercept form ( y = mx + b ) if needed.
The equation ( y - x - 5 = 0 ) can be rewritten as ( y = x + 5 ). To create a table of values, you can choose various ( x ) values and calculate the corresponding ( y ) values. For example, if ( x = 0 ), then ( y = 5 ); if ( x = 1 ), then ( y = 6 ); and if ( x = -1 ), then ( y = 4 ). A correct table might look like this: | ( x ) | ( y ) | |-------|-------| | 0 | 5 | | 1 | 6 | | -1 | 4 |
To determine the equation of a line from a table of values, first identify two points from the table, typically in the form (x₁, y₁) and (x₂, y₂). Calculate the slope (m) using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Then, use the point-slope form ( y - y₁ = m(x - x₁) ) to find the equation of the line. If necessary, rearrange it into slope-intercept form ( y = mx + b ).