Slope-Intercept, Point-Slope, and Standard Form of Lines

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.

To find the x-intercept, set y = 0 in the equation and solve for x.

The point-slope form of a line is given by the equation y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

The slope of a vertical line is undefined.

The slope of a horizontal line is 0.

The slope (m) is calculated using the formula m = (y_2 - y_1) / (x_2 - x_1).

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

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