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in Coordinate Geometry by (32.3k points)
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Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines.

i. 45° 

ii. 60° 

iii. 90°

1 Answer

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i. Angle made with the positive direction of

X-axis (θ) = 45°

Slope of the line (m) = tan θ

∴ m = tan 45° = 1

∴ The slope of the line is 1.

ii. Angle made with the positive direction of X-axis 

(θ) = 60°

Slope of the line (m) = tan θ

∴ m = tan 60° = √3

∴ The slope of the line is √3.

iii. Angle made with the positive direction of

X-axis (θ) = 90°

Slope of the line (m) = tan θ

∴ m = tan 90°

But, the value of tan 90° is not defined.

∴ The slope of the line cannot be determined.

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