Math, asked by Anonymous, 10 months ago

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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Answers

Answered by Anonymous
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 Anonymous
111

Answer:

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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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