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Answer:
The two lines are not perpendicular because the product of their slopes is not equal to -1
Step-by-step explanation:
The product of the slopes of the perpendicular line is -1
- That means one of them is and additive and multiplicative inverse of the other
- If the slope of one of them is m, then reciprocal m and change its sign, then the slope of the perpendicular is
- The formula of the slope is
Let us find from the graph two points lie on each line and calculate the slopes of them and then find its product if the product is -1, then the two lines are perpendicular
From the graph
∵ The red line passes through points (4 , 0) and (0 , 8)
∴ = 4 and
= 0
∴ = 0 and
= 8
∵
∴ The slope of the red line is -2
∵ The blue line passes through points (5 , 5) and (0 , -5)
∴ = 5 and
= 0
∴ = 5 and
= -5
∵
∴ The slope of the blue line is 2
∵ The products of the slopes of the two lines = -2 × 2 = -4
∴ The product of the slopes of the lines not equal -1
∴ The two lines are not perpendicular