Answer
$y = \frac{1}{2}x + \frac{3}{2} $
or
$y = 0.5x + 1.5$
Work Step by Step
1. The pattern equation for a line is:
$y = mx + b$
2. Firstly, we have to solve for y in $x - 2y = 2$
$-2y = 2 - x$
$y = \frac{2}{-2} - \frac{x}{-2}$
$y = -1 + \frac{x}{2} = \frac{1}{2}x - 1$
- The "m" value for that equation is $\frac{1}{2}$.
If two line equations are parallel, that means that they have the same slope, therefore, the same value for "m".
$y = \frac{1}{2}x + b$
3. Now, we can use the given point $(1,2)$ to solve for b:
$2 = \frac{1}{2}(1) + b$
$2 = \frac{1}{2} + b$
$2 - \frac{1}{2} = b$
$\frac{4}{2} - \frac{1}{2} = b$
$\frac{3}{2} = b$
4. The equation of that line is:
$y = \frac{1}{2}x + \frac{3}{2} = 0.5x + 1.5$
