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Mathematics

The equation of a line is x - y = 4. Find its slope and y-intercept. Also, find its inclination.

Straight Line Eq

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Answer

Given,

⇒ x - y = 4

⇒ -y = -x + 4

⇒ y = x - 4

Comparing it with y = mx + c, we get,

m = 1 and c = -4.

⇒ m = tan θ

⇒ 1 = tan θ

⇒ tan 45° = tan θ

⇒ θ = 45°.

Hence, slope = 1, y-intercept = -4 and inclination = 45°.

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