Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to
step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute
step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute
step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute
step 4
Compare the slopes
Blue line ---->
Red line ----.
Green line --->
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular