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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

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

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