202412 Semester Exam

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

What does the y-intercept of a graph represent?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

What is the slope of a line?

Back

The slope of a line measures the steepness and direction of the line, calculated as the change in y over the change in x (rise/run).

Front

How do you find the equation of a line in slope-intercept form?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

Back

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Front

What is the significance of the x-coordinate in the equation of a vertical line?

Back

In the equation of a vertical line, the x-coordinate is constant, indicating that all points on the line have the same x-value.

Front

What is the significance of the y-coordinate in the equation of a horizontal line?

Back

In the equation of a horizontal line, the y-coordinate is constant, indicating that all points on the line have the same y-value.