# How do you find a line that passes through a point (3,1) that is parallel to a line whose slope is -1/2?

Apr 23, 2017

$y = - \frac{1}{2} x + \frac{5}{2}$

#### Explanation:

parallel lines have equal slopes so the equation of the line is :
$y = - \frac{1}{2} x + C$

since the point (3,1) is on the line so we can substitute it in the

equation above to find $C$ ;

$1 = - \frac{1}{2} \left(3\right) + C$ ,
$1 = - \frac{3}{2} + C$ ,
$1 + \frac{3}{2} = C$ ,
$C = \frac{5}{2}$

the overall equation is $y = - \frac{1}{2} x + \frac{5}{2}$