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प्रश्न
Find the equation of the line having inclination 135° and making X-intercept 7
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उत्तर
Inclination of the line = θ = 135°
∴ slope of the line = m = tan θ
= tan 135°
= tan(180° – 45°)
= – tan 45°
= – 1
Since line has x-intercept 7, it is passing through the point (7, 0).
Now, equation of the line having slope m and passing through (x1, y1) is
y – y1 = m(x – x1)
∴ equation of the required line having slope – 1 and passing through (7, 0) is
y – 0 = – 1(x – 7)
∴ y = – x + 7
∴ x + y – 7 = 0.
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