Condition for Straight Lines in Plane to be Parallel/Examples

Examples of Use of Condition for Straight Lines in Plane to be Parallel

Arbitrary Example $1$

Let $\LL_1$ be the straight line whose equation in general form is given as:

$3 x - 4 y = 7$

Let $\LL_2$ be the straight line parallel to $\LL_1$ which passes through the point $\tuple {1, 2}$.

The equation for $\LL_2$ is:

$3 x - 4 y = -5$