Graphing Linear Equations

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

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

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

The y-intercept is 4, which means the line crosses the y-axis at the point (0, 4).

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 graph is a straight line with a slope of -2 and a y-intercept of 1.

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

Two lines are perpendicular if the product of their slopes is -1.

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