The lines graphed below are perpendicular. The slope of the red line is -2. What is the slope of the green line?

The slope of the green line would be 1/2
Perpendicular lines have opposite and reciprocal slopes. This means we first have to take the -2 and make it opposite to its current sign (2). Now we can take the 2 and flip it as a fraction (1/2).
This gives us the slope
Answer: A [tex]\dfrac{1}{2}[/tex]
Step-by-step explanation:
From the given picture, it can be seen that green line is perpendicular to the red line.
Since , the product of slope of two perpendicular lines is -1.
Therefore, the product of slope of green line and red line must be -1.
i.e.[tex]\text{Slope of green line}\times-2=-1[/tex]
Divide -2 on both sides, we get
[tex]\text{Slope of green line}=\dfrac{1}{2}[/tex]