Is y = x + 7 represent a straight line? At which point does this line intersect Y-axis? How much angle does it make with X-axis?
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Hi ,
i ) Yes ,
y = x + 7 is in the form of ax + by + c = 0
it is Linear equation in two variables
x and y .So, it represents a straight line .
ii )Given ,
y = x + 7
- x + y = 7
divide each term with 7 both sides,
we get ,
x/( - 7 ) + y/7 = 1 compare with
x/a + y/b = 1 ,
a = -7 , b = 7 ,
where a = -7 is x - intercept , and
b = 7 is y - intercept .[ see the attachment ]
iii ) line making angle with X axis
From ,
In ∆AOB , <O = 90°
Tan A = OB/AO
= 7/( (-7 )
= -1
= - tan 45°
= tan( 180 - 45 )
tan A = tan ( 180 - 45 )
A = 135°
I hope this helps you.
: )
i ) Yes ,
y = x + 7 is in the form of ax + by + c = 0
it is Linear equation in two variables
x and y .So, it represents a straight line .
ii )Given ,
y = x + 7
- x + y = 7
divide each term with 7 both sides,
we get ,
x/( - 7 ) + y/7 = 1 compare with
x/a + y/b = 1 ,
a = -7 , b = 7 ,
where a = -7 is x - intercept , and
b = 7 is y - intercept .[ see the attachment ]
iii ) line making angle with X axis
From ,
In ∆AOB , <O = 90°
Tan A = OB/AO
= 7/( (-7 )
= -1
= - tan 45°
= tan( 180 - 45 )
tan A = tan ( 180 - 45 )
A = 135°
I hope this helps you.
: )
Attachments:
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