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A line passes through (x1, y1) and (h, k). If slope of the line is m, show that k – y1 = m (h – x1). - Mathematics

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Question

A line passes through (x1, y1) and (h, k). If slope of the line is m, show that k – y1 = m (h – x1).

Sum

Solution

The slope of the line passing through (x, y) and (h, k) is `(k - y_1)/(h - x_1)`

It is given that the slope of the line is m.

`("k" - "y"_1)/("h" - "x"_1) = "m"`

= k – y1 = m(h – x1)

Hence, k – y1 = m(h – x1)

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Chapter 10: Straight Lines - Exercise 10.1 [Page 212]

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NCERT Mathematics [English] Class 11
Chapter 10 Straight Lines
Exercise 10.1 | Q 12 | Page 212

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