Explore Linear Relationships and Ratios

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

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What does the slope of a line represent in a linear relationship?

Back

The slope represents the rate of change between the two variables; it shows how much one variable changes for a unit change in the other variable.

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What is a ratio?

Back

A ratio is a comparison of two quantities by division.

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What are equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the same number to get a ratio of 1 to something.

Front

What is a graph?

Back

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

Front

What does the x-axis represent in a graph?

Back

The x-axis is the horizontal line on a graph that typically represents the independent variable.

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What does the y-axis represent in a graph?

Back

The y-axis is the vertical line on a graph that typically represents the dependent variable.

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How can you determine the value of a variable from a graph?

Back

You can determine the value by locating the point on the graph that corresponds to the variable and reading its value from the axes.

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What is a coordinate point?

Back

A coordinate point is a pair of numbers that define a specific location on a graph, usually written as (x, y).