# How do you write the standard form of a line given (4, 1), m = -1/2?

Jun 5, 2016

$y = - \frac{1}{2} x + 3$

#### Explanation:

Let-

${x}_{1} = 4$
${y}_{1} = 1$
$m = - \frac{1}{2}$

Equation

$y - {y}_{1} = m \left(x - {x}_{1}\right)$
$y - 1 = - \frac{1}{2} \left(x - 4\right)$
$y - 1 = - \frac{1}{2} x + 2$
$y = - \frac{1}{2} x + 2 + 1$
$y = - \frac{1}{2} x + 3$