Parallel Lines
Lines with the same gradient like the rails of a railway line never intersect and are said to be parallel.
m=1
Parallel Line Though a Given Point
This is a popular maths problem: find the equation of the straight line that is parallel to the blue line and passes through the red point? The required line is the pulsating orange line.
The equation of the line can only be estimated (in most cases) by drawing the line, whereas the equation of the line can be found algebraically as follows:
Exercise: Find equation of Parallel Line.
Given the line and point:
Find the line which is parallel to the above line and passes through the point. Show your working out on paper and don't use a calculator.
numerator denominator
numerator denominator
Check your working out below:
Summary
(1) Parallel lines have the same gradient.
(2) For a line with a specified gradient that passes through a given point; the c value can be found by substituting the x and y values from the coordinate in the equation of the line.