Point-Slope Form

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

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.

A zero slope indicates a horizontal line, where y remains constant as x changes.

An undefined slope indicates a vertical line, where x remains constant as y changes.

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

y - 5 = 3(x - 2).

y - 2 = -2(x - 1).