SlopeDefn

Slope of lines

[size=100][size=150]If a line makes an angle [math]\theta[/math] with positive x-axis then it is called the angle of inclination of the line.[br]We define the slope of the line as [math]m=\tan\theta[/math]. [/size][/size]

Q.1

What happens when the angle of inclination is zero?

m=0 m=1 Line becomes vertical Line becomes horizontal

Q.2

What happens when the angle of inclination is [math]90^o[/math]?

m=undefined m=1 Line becomes horizontal Line becomes vertical m=0

Q.3

What happens when the angle of inclination is acute?

m<0 m=0 m>0

Q.4

What happens when the angle of inclination is obtuse?

m>0 m<0 m=0

Q.5

What happens when the angle of inclination is a right angle?

m<0 m=0 m is undefined m>0

Q.6

Suppose a line is horizontal then

[math]\theta=180^O[/math] m is undefined [math]\theta=90^O[/math] [math]\theta=0^O[/math] m=0

Q.7

Suppose a line is vertical then

[math]\theta=0^O[/math] m is undefined [math]\theta=180^O[/math] m=0 [math]\theta=90^O[/math]

SlopeDefn

Slope of lines

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Information: SlopeDefn