7.4A Equations, Tables, and Graphs

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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 of a line represents the rate of change between the x and y values. It indicates how much y changes for a unit change in x.

Front

What is a table of values?

Back

A table of values is a way to organize pairs of numbers that show the relationship between two variables, often used to represent data for a function.

Front

How do you interpret a graph?

Back

To interpret a graph, look at the axes, identify the variables, and analyze the shape and trends of the data represented.

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It represents the value of y when x is 0.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if the ratio between the two variables remains constant. This means that as one variable increases, the other variable increases at a consistent rate.

Front

How can you represent a constant rate of change?

Back

A constant rate of change can be represented by a linear equation, where the slope indicates the rate of change.

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two or more variables.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled in an experiment, while the dependent variable is the one that is measured or affected.

Front

How do you find the distance traveled using speed and time?

Back

Distance can be calculated using the formula: Distance = Speed × Time.