Finding Slope From Two Points

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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

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

The slope of a horizontal line is 0, as there is no change in the y-coordinate regardless of the change in the x-coordinate.

The slope of a vertical line is undefined, as the change in the x-coordinate is 0, leading to division by zero in the slope formula.

Using the slope formula: m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

A slope of -2 indicates that for every 1 unit increase in x, the y value decreases by 2 units, meaning the line falls steeply from left to right.

The slope represents the rate of change between two variables, which can be used in various contexts such as speed, cost, and growth rates.

Two lines are parallel if they have the same slope.

Two lines are perpendicular if the product of their slopes is -1.