6.6C Table and Graphs

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 does the equation y = 3x represent?

Back

It represents a linear relationship where for every unit increase in x, y increases by 3.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one variable is a constant multiple of another, represented by the equation y = ax.

Front

What does the slope of a line in a graph represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How can you find the number of weeks needed to save for a bicycle costing $90 if you receive $7.50 weekly?

Back

Use the equation $7.50x = 90, where x is the number of weeks.

Front

What is the difference between y = 2x and y = 2 + x?

Back

y = 2x is a direct proportionality, while y = 2 + x has a constant added to x.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the purpose of a table in data representation?

Back

A table organizes data in rows and columns, making it easier to read and analyze.

Front

How do you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph, then use the formula y = mx + b.