Answer:
y = -1/2x +4
Step-by-step explanation:
First you need to get you're y-intercept form equation which is going to be : y = -1/2x + 7
How: x + 2y = 14
-- Subtract x on both sides
x + 2y = 14
-x -x
Then: 2y = -x +14
-- Divide 2 on all parts
[tex]\frac{2y}{2} = -\frac{1x}{2} + \frac{14}{2}[/tex]
Equals: y = -1/2x + 7
Second find the slope which is : m = -1/2x
Third the formula for finding a parallel line to another is : y - y[tex]_{1}[/tex] = m(x - x[tex]_{1}[/tex])
The problem now would look like :
y - 0 = -1/2(x - -8)
--Distribute the -1/2
y - 0 = -1/2x + 4
--Add the 0 to 4
y = -1/2x +4
Hope this helps!
--Blu
