Functions Unit Review 24.25

Front

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

Back

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

Front

How do you determine the slope of a line from a graph?

Back

The slope (m) is calculated as the rise over run, or the change in y divided by the change in x between two points on the line.

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if no vertical line intersects the graph at more than one point, indicating that it represents a function.

Front

What is a head start in a race?

Back

A head start is when one runner begins the race ahead of the others, giving them an advantage.

Front

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

Back

The y-intercept is the value of y when x = 0 in the equation of the line.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the constant y-value.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the constant x-value.

Front

How can you identify the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).