Equation of a Line given two points

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

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form (y = mx + b).

The slope is m = (5 - (-1)) / (4 - 2) = 6 / 2 = 3.

The equation is y = 3x - 7.

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

The point-slope form is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.