Writing an equation from a table involves determining the relationship between the variables represented in the table and expressing it in the form of an equation.
A table is a visual representation of a set of data that contains rows and columns. Each column represents a variable and each row represents a set of values for those variables.
When writing an equation from a table, the first step is to identify the independent variable (x) and the dependent variable (y). The independent variable is the variable that changes and the dependent variable is the variable that is affected by the change in the independent variable. The values of the dependent variable are determined by the values of the independent variable.
For example, if the table shows a relationship between time (x) and distance (y), the equation can be written as:
y = mx + b
Where m is the slope (rate of change) and b is the y-intercept (the value of y when x = 0)
The slope is calculated by finding the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on the table, m = (y2 - y1) / (x2 - x1)
The y-intercept is determined by finding the value of y when x = 0, b = y1 - m*x1
Once you have the slope and y-intercept, you can substitute these values into the equation and you have the equation that represents the relationship between the variables in the table.
It is important to note that, the equation you get from the table is an equation of a linear function, which means that the relationship between the variables is a straight line.
