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Mathematics

Find the inclination of the line joining the points P(4, 0) and Q(7, 3).

Straight Line Eq

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Answer

Slope of the line joining P and Q i.e two points is given by,

⇒y2−y1x2−x1∴3−07−4=33=1.\Rightarrow \dfrac{y2 - y1}{x2 - x1} \\[1em] \therefore \dfrac{3 - 0}{7 - 4} \\[1em] = \dfrac{3}{3} \\[1em] = 1.

We know that, m = tan θ. Since m = 1.

⇒tan θ=tan 45°⇒θ=45°.\Rightarrow \text{tan θ} = \text{tan 45°} \\[1em] \Rightarrow \text{θ} = 45°.

Hence, the inclination of the line is 45°.

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