ax + 5y = 8 has slope of -4/3. What is the value of a?

This question was previously asked in
SSC CGL Previous Paper 3 (Held On: 6 August 2017 Shift 1)
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  1. 20/3
  2. 3/20
  3. -20/3
  4. -3/20

Answer (Detailed Solution Below)

Option 1 : 20/3
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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Given:

ax + 5y = 8

Calculation:

ax + 5y = 8

⇒ y = -ax/5 + 8/5

Comparing it with y = mx + c, where m = Slope

So, m = -a/5

⇒ Slope = -a/5 = -4/3 (given)

⇒ a/5 = 4/3

∴ a = 20/3

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