Answer:
Parallel: y = -2x + 9
Perpendicular: y = (1/2)x + 2
Explanation:
If we have an equation with the form y = mx + b. The value of m, the number beside the x, is the slope.
Then, 2 lines are parallel if they have the same slope. So, a parallel line to the given line is:
y = -2x + 9
On the other hand, two lines are perpendicular if the product of both slopes is equal to -1. So, the slope of the perpendicular equation is:
[tex]\begin{gathered} -2\cdot m=-1 \\ m=\frac{-1}{-2} \\ m=\frac{1}{2} \end{gathered}[/tex]Then, a perpendicular line to the given line is:
y = (1/2)x + 2
