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.

In the equation y = mx + b, the slope (m) is the coefficient of x, which indicates the steepness and direction of the line.

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

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

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

The slope of the line y = -3x - 3 is -3.

A slope of 0 indicates a horizontal line, meaning that the value of y remains constant regardless of the value of x.

The equation for a line with a slope of 1 and a y-intercept of -2 is y = 1x - 2 or simply y = x - 2.