Linear equations

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 are dependent and independent variables?

Back

In a function, the independent variable is the one that you can control or change (usually x), while the dependent variable is the one that depends on the independent variable (usually y).

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What does the slope of a line represent?

Back

The slope of a line represents the rate of change between the dependent and independent variables. It shows how much y changes for a change in x.

Front

What is the y-intercept?

Back

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

Front

How do you identify independent quantities from a graph?

Back

Independent quantities are usually represented on the x-axis of a graph. They are the values that you can change.

Front

How do you identify dependent quantities from a graph?

Back

Dependent quantities are usually represented on the y-axis of a graph. They depend on the values of the independent quantities.

Front

What is an additive relationship?

Back

An additive relationship is when one quantity increases or decreases by a constant amount as another quantity changes. It can be represented by addition or subtraction.

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What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity increases or decreases by a constant factor as another quantity changes. It can be represented by multiplication or division.

Front

How can you write an equation from a word problem?

Back

To write an equation from a word problem, identify the quantities involved, determine how they relate to each other, and express that relationship using variables.

Front

What is the equation for calculating total earnings based on hourly pay?

Back

The equation is t = ph, where t is total earnings, p is pay per hour, and h is the number of hours worked.