Parallel Lines

# Parallel Lines

GCSE(F), GCSE(H),

Parallel lines have the same gradient, or slope, but different intercept points on the y-axis.

A set of collinear points all exist on the same line.

## Examples

1. Is the line defined by two points, (2, 6) and (4, 20), parallel to the line given by the equation y = 7x + 4?

The gradient of the line defined by the points is frac("difference up")("difference along") = frac(20-6)(4-2) = 7.