Linear Equations Help

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.

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What is a dependent variable?

Back

A dependent variable is the variable that is measured and affected in an experiment, responding to changes in the independent variable.

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable with respect to the independent variable, indicating how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the value of the dependent variable when the independent variable is zero, representing where the line crosses the y-axis.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

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How do you identify the slope from a graph?

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The slope can be identified by selecting two points on the line and calculating the rise (change in y) over the run (change in x).

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What does a positive slope indicate?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

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What does a negative slope indicate?

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A negative slope indicates that as the independent variable increases, the dependent variable decreases.

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How do you find the y-intercept from an equation?

Back

To find the y-intercept, set the independent variable (x) to zero and solve for the dependent variable (y).

Front

What is an example of an independent variable in an experiment?

Back

In an experiment testing the effect of sunlight on plant growth, the amount of sunlight is the independent variable.