# How do you write the equation in standard form given (5,6) and having a slope of 2?

May 23, 2016

$- 2 x + y + 4 = 0$

#### Explanation:

The standard form of the equation of a line is $A x + B y + C = 0$

To solve for the standard form we can begin by using the point-slope form of the equation $y - {y}_{1} = m \left(x - {x}_{1}\right)$

For the example $\left(5 , 6\right)$ and slope of 2

${x}_{1} = 5$
${y}_{1} = 6$
$m = 2$

$y - 6 = 2 \left(x - 5\right)$

$y - 6 = 2 x - 10$

$y - 6 \cancel{+ 10} = 2 x \cancel{- 10} \cancel{+ 10}$

$y + 4 = 2 x$

$- 2 x + y + 4 = \cancel{2 x} \cancel{-} \left(2 x\right)$

$- 2 x + y + 4 = 0$