6.6C - Multiple Representations

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 variable 'x' represent in an equation?

Back

In an equation, 'x' typically represents the independent variable, which is the input value that can be changed.

Front

What does the variable 'y' represent in an equation?

Back

In an equation, 'y' typically represents the dependent variable, which is the output value that depends on the value of 'x'.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you identify dependent and independent variables in a problem?

Back

The independent variable is the one you can control or change, while the dependent variable is what you measure or observe in response.

Front

What is the equation for a line with a slope of 3 and a y-intercept of 2?

Back

The equation is y = 3x + 2.

Front

What does it mean for a quantity to be dependent?

Back

A dependent quantity is one that relies on another quantity; its value changes based on the value of the independent quantity.

Front

What is the relationship between x and y in the equation y = x + 4?

Back

In this equation, for every increase of 1 in x, y increases by 1 as well, plus an additional 4.

Front

How can you represent data in a table?

Back

Data can be organized in a table with rows and columns, where one column represents the independent variable and another represents the dependent variable.