Reviewing Linear Functions

Front

What does the slope tell you about a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable. For example, a slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y is zero.

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x is zero.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases, showing a direct relationship.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases, showing an inverse relationship.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line, meaning there is no change in the dependent variable as the independent variable changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, meaning the x-value does not change while the y-value can take any value.

Front

If a line has a slope of -1, what does this mean in terms of the graph?

Back

A slope of -1 means that for every 1 unit increase in x, y decreases by 1 unit, resulting in a downward slant from left to right.

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.