Answer:
Step-by-step explanation:
Parallel lines are lines whose slopes are the same
We are given the line [tex]y = \frac{-1}{2}x + 3[/tex]
so the other line's slope has to be [tex]\frac{-1}{2}[/tex]
We can use y = mx + b to find the equation of the line
[tex]y = mx + b\\y = \frac{-1}{2}(x)+b\\1 = \frac{-1}{2}(-3)+b\\1 = \frac{3}{2} + b\\b = \frac{-1}{2}[/tex]
so
[tex]y = \frac{-1}{2}(x) - \frac{1}{2}[/tex]
