Slope Intercept Form

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

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

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

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

The slope (m) indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form if needed.

Use the formula b = y - mx, where (x, y) is the point and m is the slope.

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

The slopes of perpendicular lines are negative reciprocals of each other; if one slope is m, the other is -1/m.