x and y intercepts, types of slope

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.

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.

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.

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

The slope m can be calculated using the formula $$m = \frac{y2 - y1}{x2 - x1}$$ .

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

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

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

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

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