Identifying independent, dependent, slope and y-int in context

Front

What is an independent variable?

Back

An independent variable is the variable that is changed or controlled in a scientific experiment to test its effects on the dependent variable.

Front

What is a dependent variable?

Back

A dependent variable is the variable that is measured and affected in an experiment, depending on the independent variable.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the value of y when x is 0.

Front

Identify the independent variable in the scenario: 'The more hours you study, the higher your test score.'

Back

The independent variable is the number of hours studied.

Front

Identify the dependent variable in the scenario: 'The more hours you study, the higher your test score.'

Back

The dependent variable is the test score.

Front

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

Back

The slope of a line indicates the steepness and direction of the line, representing the rate of change between the independent and dependent variables.

Front

If a line has a slope of 2, what does this mean in context?

Back

A slope of 2 means that for every 1 unit increase in the independent variable, the dependent variable increases by 2 units.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of the dependent variable when the independent variable is 0.

Front

In the equation y = 3x + 4, what is the y-intercept?

Back

The y-intercept is 4.