Slope and y-intercept

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

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 definition of y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept of the line.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

What is the y-intercept of the line represented by the equation y = -4x + 1?

Back

The y-intercept of the line is 1.

Front

How do you determine if a slope is zero?

Back

A slope is zero if the line is horizontal, meaning there is no rise as the run increases.

Front

How do you determine if a slope is undefined?

Back

A slope is undefined if the line is vertical, meaning there is no run as the rise increases.