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प्रश्न
Find the equation of the line that satisfies the given condition:
Passing through the point (−4, 3) with slope `1/2`.
Determine the equation of a line passing through the point (−4, 3) with slope `1/2`.
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उत्तर
We know that the equation of the line passing through the point (x0, x0),
Whose slope is m, (y − y0) = m(x − x0),
Thus, the equation of the line passing through the point (−4, 3), whose slope is `1/2`, is:
(y – 3) = `1/2` (x + 4)
2(y – 3) = x + 4
2y – 6 = x + 4
0 = x – 2y + 4 + 6
∴ x – 2y + 10 = 0
Hence, the equation of the line is x – 2y + 10 = 0.
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