Slope and Intercepts

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Front

What is the slope-intercept form of a linear equation?

Back

Front

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

Back

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 y-intercept of a line?

Back

Front

How would you write the equation of a line with a slope of 1 and a y-intercept of 2?

Back

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line, where the x-values are constant and the line does not rise or fall.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, where the y-values are constant regardless of the x-values.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope can represent the rate of change, such as speed, cost per item, or any other ratio of change between two variables.