Slope review 10.5

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) over the change in x (run).

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.

The slope of a horizontal line is zero because there is no change in y as x changes.

The slope (m) is calculated using the formula m = (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-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept is -23, which is the value of y when x = 0.

A slope of 4/3 means that for every 3 units moved horizontally (run), the line rises 4 units (rise).

The slope of the line is 2.