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Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9. - Mathematics and Statistics

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Question

Find the value of k: if the slope of the line passing through the points (3, 4), (5, k) is 9.

Sum

Solution

Let P(3, 4), Q(5, k).
Slope of PQ = 9          …[Given]

∴ `("k" - 4)/(5 - 3)` = 9

∴ `("k" - 4)/2` = 9

∴ k – 4 = 18
∴ k = 22.

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Chapter 5: Locus and Straight Line - Miscellaneous Exercise 5 [Page 79]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 3. (a) | Page 79
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