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Find the Equation of the Straight Line Passing Through the Point (6, 2) and Having Slope − 3.

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प्रश्न

Find the equation of the straight line passing through the point (6, 2) and having slope − 3.

संक्षेप में उत्तर
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उत्तर

Here,

\[m = - 3, x_1 = 6 \text { and } y_1 = 2\]

Substituting these values in \[y - y_1 = m\left( x - x_1 \right)\] ,  we get,

\[y - 2 = - 3\left( x - 6 \right)\]

\[ \Rightarrow y - 2 = - 3x + 18\]

\[ \Rightarrow 3x + y - 20 = 0\]

Hence, the equation of the required line is \[3x + y - 20 = 0\]

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Equations of Line in Different Forms - Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
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अध्याय 23: The straight lines - Exercise 23.4 [पृष्ठ २९]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 23 The straight lines
Exercise 23.4 | Q 1 | पृष्ठ २९

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