The slope of the green line if the lines are perpendicular would be -1/4.
How to find if two lines are perpendicular to each other?
If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other.
That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a.
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
For the two lines two be perpendicular, the product of their slope must be -1.
Let the slope of the red and green line be m1 and m2.
Given the following
The Slope of red line = 4
According the definition, we get,
4m2 = -1
m2 = -1/4
Hence, the slope of the green line if the lines are perpendicular is -1/4
Learn more on perpendicular lines here:
brainly.com/question/1202004
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