SLope and graphing equations

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation y = mx + b.

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Slope (m) = (y2 - y1) / (x2 - x1).

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

An undefined slope occurs in a vertical line where x does not change, leading to division by zero.

The slope can be identified by selecting two points on the line and calculating the rise over run.

The equation is y = 3x + 2.

Slope (m) = (6 - 2) / (3 - 1) = 4 / 2 = 2.