Assertion (A): The slope of line x - y = 8 is - 1. Reason (R): x - y = 8 ⇒ y = x - 8 ∴ Slope = coefficient of x = 1 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.

Mathematics

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A is false, R is true.

Explanation

Given,

x - y = 8

Comparing with general equation, y = mx + c, where m = slope and c = constant

y = x - 8

So, m = 1, c = -8

Slope = 1

According to Assertion, slope = -1(≠ 1)

∴ Assertion (A) is false.

x - y = 8

⇒ y = x - 8

∴ Slope = coefficient of x = 1

∴ Reason (R) is true.

Hence, Assertion (A) is false, Reason (R) is true.

Answered By

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