Mathematics
Write the slope of the line which is :
(i) parallel to x-axis.
(ii) perpendicular to x-axis.
(iii) parallel to y-axis.
(iv) perpendicular to y-axis.
Coordinate Geometry
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Answer
(i) A line parallel to the x-axis has an inclination of 0°, as it does not make an angle with the x-axis.
Therefore, the inclination of the line is 0°.
The slope of the line = m = tan θ = tan 0° = 0
Hence, the slope of the line is 0.
(ii) A line perpendicular to the x-axis is parallel to the y-axis and makes a 90° angle with the x-axis.
Therefore, the inclination of the line is 90°.
The slope of the line = m = tan θ = tan 90° = not defined
Hence, the slope of the line is not defined.
(iii) A line parallel to the y-axis is perpendicular to the x-axis, so its inclination is 90°.
Therefore, the inclination of the line is 90°.
The slope of the line = m = tan θ = tan 90° = not defined
Hence, the slope of the line is not defined.
(iv) A line perpendicular to the y-axis is parallel to the x-axis, so its inclination is 0°.
Therefore, the inclination of the line is 0°.
The slope of the line = m = tan θ = tan 0° = 0
Hence, the slope of the line is 0.
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Related Questions
Write the slope of the line whose inclination is:
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(iii) 45°
(iv) 60°
Find the inclination of the line whose slope is:
(i) 0
(ii) 1
(iii)
(iv)
For each of the equations given below, find the slope and the y-intercept :
(i) x + 3y + 5 = 0
(ii) 3x - y - 8 = 0
(iii) 5x = 4y + 7
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Find the equation of the line, whose :
(i) slope = 2 and y-intercept = 3
(ii) slope = 5 and y-intercept = - 8
(iii) slope = - 4 and y-intercept = 2
(iv) slope = - 3 and y-intercept = - 1
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