Relate Tables, Graphs, and Equations

Front

What is a table in mathematics?

Back

A table is a way to organize data in rows and columns, showing the relationship between different variables.

Front

What does a graph represent?

Back

A graph visually represents data, showing the relationship between two variables, typically with an x-axis and a y-axis.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, often used to describe relationships between variables.

Front

How do you find the equation from a table?

Back

To find the equation from a table, identify the pattern in the data and express it in the form of y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change between the two variables; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept?

Back

The y-intercept is the value of y when x is 0; it is where the line crosses the y-axis.

Front

How can you write an equation from a graph?

Back

To write an equation from a graph, determine the slope and y-intercept from the graph and use the slope-intercept form y = mx + b.

Front

What does the point (2, 94) mean in a context of savings?

Back

It means that after 2 weeks, the total savings amount is $94.

Front

What is the relationship between tables, graphs, and equations?

Back

Tables provide data, graphs visualize that data, and equations describe the relationship mathematically.

Front

How do you interpret the equation y = x + 4?

Back

This equation means that for every unit increase in x, y increases by the same amount plus 4.