Equation of Straight Line in Plane through Two Points/Examples/(2, 1) and (-6, 7)

Example of Use of Equation of Straight Line in Plane through Two Points

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:

$4 y = -3 x + 10$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): line: 2.
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): line: 2.