Determine if the two lines are perpendicular. Explain how you know by calculating the slopes and comparing the slopes in 2-3 sentences.

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

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

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