Question

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

Answer 1

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 2

Answer: A
`(1)/(2)`

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.
`\text{Slope of green line}*-2=-1`

Divide -2 on both sides, we get

`\text{Slope of green line}=(1)/(2)`