2.5-2.9 Review

Front

What is the meaning of the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It represents the initial value of a function when x = 0.

Front

Which letter represents the slope in the equation y = mx + b?

Back

The letter 'm' represents the slope in the equation y = mx + b.

Front

What does the slope of a line indicate?

Back

The slope indicates the rate of change of y with respect to x. It shows how steep the line is.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is 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.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the significance of the y-intercept in real-life scenarios?

Back

The y-intercept can represent an initial condition or starting value in real-life situations, such as initial deposits in a bank account.

Front

How can you identify the slope from a graph?

Back

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

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.