Question

The angle made by a line with the positive direction of X – axis is 45°. Complete the following activity to find the slope of the line. Solution: Angle made by the line with the positive direction of X - axis, (ø)=____ Slope (m) of the line=_____---(Formula) = tan____ =_____ Slope (m) of the line is_____​

Answer 1

Answer:

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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