Chapter 3 Flex Club

Front

Is this a function?

Back

A function is a relation where each input has exactly one output.

Front

Find the slope of the line passing through (12,8) and (9,7).

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1). For points (12,8) and (9,7), m = (7 - 8) / (9 - 12) = -1 / -3 = 1/3.

Front

What is the initial value?

Back

The initial value in a linear function is the y-intercept, which is the point where the line crosses the y-axis.

Front

Is this linear?

Back

A linear function is a function that graphs to a straight line. It can be represented in the form y = mx + b.

Front

A constant interval has_________.

Back

A constant interval has a slope of zero, meaning the line is horizontal.

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in y over the change in x.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does a positive slope indicate?

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?

Back

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

Front

What is the formula for slope between two points?

Back

The formula for slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).