Partial Differential Equations

Two lines which keep equal distance from each other are said to be parallel. If two lines can be continued up to infinity and never meet at any point, then such lines are termed as parallel. Parallel lines are also called Equidistant lines.

 

These lines never cross with each other, hence they are parallel. If angles are considered then it is 180 degrees, here the two lines are equal so they will never meet. In order to find the slope first we have to calculate from the given equation. Then substitute the straight-line equation and find out the value of y.

If the equation of line is ax + by + c = 0 and coordinates are (x1, y1), then the slope must be -a/b. In case of two parallel lines to each other, both slopes of the line are equal to each other. Let m1 and m2 be the two slopes of the lines.

Now, a given line with slope m passing through a point (x1,y1) the formula is used to find out the parallel line.

Question: Find the parallel line of the given straight line 6x – 3y = 2 passing through a point (1, 2).

 

Solution:

The given equation is,

6x - 3y = 2 and the given coordinates are (1, 2).

Equation of parallel line

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