Equation of a Line

The slope (m) is calculated using the formula: $$m = \frac{y2 - y1}{x2 - x1}$$ .

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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

The slope (m) is $$\frac{3}{2}$$ .

The y-intercept (b) is 4.

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

A slope of 0 indicates that the line is horizontal.

An undefined slope indicates that the line is vertical.

Parallel lines have the same slope.

Perpendicular lines have slopes that are negative reciprocals of each other.