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Parallel Line Calculator
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Two lines are said to be parallel lines if they never intersect with each other on a plane and are at same distance apart. Parallel Line Calculator will help us to find to the parallel equation which passes through a particular point.
 

Steps for Parallel Line Calculator

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Step 1 :  

Find the slope of the given equation.


If the equation of the line $\Rightarrow$ ax + by + c = 0, the slope is given by $\frac{-a}{b}$



Step 2 :  

Use point slope form to find the parallel equation of the line.



Problems on Parallel Line Calculator

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  1. Find the equation of the line that is parallel to the line x + y = 1 and passes through the point (2, 4)?


    Step 1 :  

    Given equation = x + y = 1


    Slope = $\frac{-a}{b}$$\frac{-1}{1}$ = -1 = m



    Step 2 :  

    Perpendicular equation of the line of slope(m) = -1and passing through (2, 4)


    y - y1 = m(x - x1)


    y - 4 = -1(x - 2)


    y - 4 = -x + 2


    y = -x + 2 + 4


    y = -x + 6



    Answer  :  

    y = -x + 6



  2. Find the equation of the line that is parallel to the line 4x + 2y = 1 and passes through the point (1, 1)?


    Step 1 :  

    Given equation = 4x + 2y = 1


    Slope = $\frac{-a}{b}$$\frac{-4}{2}$ = -2 = m



    Step 2 :  

    Perpendicular equation of the line of slope(m) = -2and passing through (1, 1)


    y - y1 = m(x - x1)


    y - 1 = -2(x - 1)


    y - 1 = -2x + 2


    y = -2x + 2 + 1


    y = -2x + 3



    Answer  :  

    y = -2x + 3



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