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Answer:

Line 1 Slope: - 4/3

Line 2 Slope: 3/4

Line 3 Slope: 3/4

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Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Perpendicular

Line 2 and Line 3: Parallel

Step-by-step explanation:

Line 1: Passes through (6, -4) and (0, 4).

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -    

(4 - (-4)) / (0 - 6)    

(4 + 4) / (-6)  

8 / -6

-4 / 3  

Slope = - 4/3

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Line 2: Passes through (-4, -2) and (8, 7).

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -    

(7 - (-2)) / (8 - (-4))    

(7 + 2) / (12)  

9 / 12

3 / 4  

Slope = 3/4

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Line 3: Passes through (-4, -5) and (4, 1).

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -    

(1 - (-5)) / (4 - (-4))    

(1 + 5) / (4 + 4)  

6 / 8

3 / 4  

Slope = 3/4

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Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Perpendicular

Line 2 and Line 3: Parallel

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