Parallel Lines

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Two lines are parallel if they have the same slope. For example, the lines represented by the equations y = 2x + 3 and y = 2x - 5 are parallel.

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.

The equation is y = 2x - 5.

The equation is y = 3x + 2.

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x = 0.

The equation is y = -3x + 8.

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = - (A/B)x + (C/B).

The equation is y = -\frac{5}{2}x - 8.

The slopes of parallel lines are equal.