YL Alg Final Exam Fall 2024

Front

What is a Linear Decay function?

Back

A Linear Decay function is a type of linear function where the output decreases as the input increases, typically represented by a negative slope.

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 slope of a line perpendicular to a line with slope 2?

Back

The slope of a line perpendicular to a line with slope 2 is -1/2.

Front

What is the formula for the area of a rectangle?

Back

The area (A) of a rectangle is calculated using the formula: A = length × width.

Front

How do you find the distance between two points A(x1, y1) and B(x2, y2)?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What is the area of a triangle?

Back

The area (A) of a triangle is calculated using the formula: A = 1/2 × base × height.