Does y = x + 7 represent a straight line? Draw the line on the coordinate plane.
At which point does this line intersect Y-axis?
How much angle does it make with X-axis?
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Answered by
6
Answer:
y = x + 7 on coordinate system..
➡️ yes it represents straight lines but not parallel to any axis.
➡️ At (0,7) it intersects on y axis.
➡️ It makes 45° angle with x axis
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Answered by
111
Answer:
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.
: )
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