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In the xy–coordinate system, if (a, b) and (a + 3, b + k) are two points on the line defined by the equation x = 3y – 7, then k =?
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7 3 - 1
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- 3
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Correct Option: B
Given in the question,
Points (a, b) and [(a + 3), (b + k)] will satisfy the equation x – 3y + 7 = 0.
Points (a, b) in the equation x – 3y + 7 = 0, We will get
∴ a – 3b + 7 = 0 ...................... (i)
Points (a + 3), (b + k) in the equation x – 3y + 7 = 0, We will get
a + 3 – 3 (b + k) + 7 = 0
⇒ a + 3 – 3b – 3 k + 7 = 0 (Rearrange the equation)
⇒ a – 3b + 7 + 3 – 3 k = 0 (a – 3b + 7 = 0 , Put the value from Equation (1) ), We will get
⇒ 0 + 3 – 3k = 0
⇒ 3k = 3
⇒ k = 1
