# How do you write y = 1/2x-1 in standard form?

Apr 29, 2015

The equation given to us is in the Slope Intercept Form $y = m \cdot x + c$ where $m$ is the slope and $c$ is the Y intercept

The standard form of a linear equation is $a x + b y = c$

So we first multiply both sides of this equation with 2

$2 \cdot y = 2 \left(\left(\frac{1}{2}\right) x - 1\right)$

$2 y = x - 2$

Transposing $- 2$ to the left hand side, and $2 y$ to the right, we get

$2 = x - 2 y$

color(green)(x - 2y = 2 is the Standard form of $y = \frac{1}{2} x - 1$