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What is the inclination of the line  x - y + √3 = 0 ?

What is the inclination of the line  x - y + √3 = 0 ? Correct Answer 45°

Concept:

Angle of inclination:

Angle of inclination of the line is the angle which a straight line makes with the positive direction of x-axis measured in the anti-clockwise direction to the part of the line above the x-axis.

The inclination is usually denoted by θ.

Angle of inclination = θ =  tan-1 m, where m is the slope of the line. 

  

Calculation:

Given: x - y + √3 = 0

We will first express the equation of the line in the standard form.

Thus the equation of the line is y = x + √3 

Therefore, the slope of the given line is m = tan θ = 1

∴ θ = tan-1 1 = 45° 

Thus, the angle of inclination is 45°.

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