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Answer:
1) -7/4
2) 4/7
3) -1/5
Step-by-step explanation:
1) A parallel line would have the same gradient so:
4y = -7x +3
y =[tex]\frac{-7}{4}x +\frac{3}{4}[/tex]
So a parallel line would have the gradient of [tex]\frac{-7}{4}[/tex].
2) A perpendicular line would have the inverse reciprocal of the gradient so multiplying the 2 gradients would equal -1 so:
Initially Gradient = -7/4
-7/4 x Perpendicular line = -1
Perpendicular line = -1 x 4/-7
Perpendicular line = 4/7
3) Using the same principle, the perpendicular gradient would be -1/5x