Two-Point Form of Equation of Straight Line in Plane/Examples

Examples of Use of Two-Point Form of Equation of Straight Line in Plane

$\tuple {1, 3}$ and $\tuple {-2, 4}$

Two-Point Form of Equation of Straight Line in Plane/Examples/(1, 3) and (-2, 4)

$\tuple {2, 1}$ and $\tuple {-6, 7}$

Let $\LL$ be the straight line passing through the points $\tuple {2, 1}$ and $\tuple {-6, 7}$.

Then $\LL$ has the equation:

$\dfrac {x - 2} {-6 - 2} = \dfrac {y - 1} {7 - 1}$

which after rearranging, can be written in the general form:

$4 y = -3 x + 10$