x and y intercepts, types of slope

Front

What is the definition of the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the slope-intercept form of a linear equation, where b is the y-intercept value.

Front

What is the definition of the x-intercept?

Back

The x-intercept is the point where a line crosses the x-axis, represented as (a, 0) in the coordinate plane, where a is the x-intercept value.

Front

What is the slope of a line?

Back

The slope of a line measures the steepness or incline of the line, calculated as the ratio of the rise (change in y) to the run (change in x), often represented as m in the slope-intercept form.

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 x increases, y 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 x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it represents a division by zero in the slope formula.

Front

Back

The y-intercept is 3, represented as the point (0, 3) on the graph.