Cook SOL 8.16a, d, e

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, y).

Front

How do you find the slope of a line using two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

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, meaning the line falls from left to right.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you determine if a slope is zero?

Back

A slope is zero when the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed or cost per item, in real-world situations.

Front

How can you represent a situation with a linear equation?

Back

A linear equation can represent a situation by relating two variables in a constant rate of change, such as y = mx + b.

Front

What is the meaning of the term 'linear equation'?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.