Linear Equations and Functions Review

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 slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive, negative, or zero).

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y. The y-intercept is the point where the line crosses the y-axis.

Front

What is the y-intercept of the equation y - 6 = -2(x + 5)?

Back

The y-intercept is -4.

Front

What is the equation that relates Jackson's savings to the amount of months?

Back

The equation is y = -30x + 800.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of 0 mean?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Front

What is the definition of a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

You can determine if a relation is a function by checking if any x-value is paired with more than one y-value.