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There are six lines below. 3 of which intersect at the same point. which are they?1. y=2(x-4)+92. y+9=-2(x-4)3. y=4x+94. y-9=-3(x-4)5. y=9-2(4-x)6. y=9- (4-8x)/4

Question

There are six lines below. 3 of which intersect at the same point. which are they?

1. y=2(x-4)+9

2. y+9=-2(x-4)

3. y=4x+9

4. y-9=-3(x-4)

5. y=9-2(4-x)

6. y=9- (4-8x)/4

check_circleAnswer
Step 1

We are given 6 lines and 3 of them intersect at the same ...

Let us start from writing all the equations of the line in y mx c from
(i)
(ii)
(iii
(iv)
(v)
(vi)
y 2(x-4)9=y 2x 1
y+9 -2(x - 4) =>y=-2x -1
у 3 4x + 9
y-9-3(x-4)
у %39- 2(4-х) ->у%3D2х+1
y 9-(4-8x)/4 => y 2x 8
=>y 4x +9
=>y= -3x 21
From the above equation it can be observed that lines (i), (v) and (vi) can't intersect each
other since they
parallel. And (i) and (v) are exactly same.
are
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Let us start from writing all the equations of the line in y mx c from (i) (ii) (iii (iv) (v) (vi) y 2(x-4)9=y 2x 1 y+9 -2(x - 4) =>y=-2x -1 у 3 4x + 9 y-9-3(x-4) у %39- 2(4-х) ->у%3D2х+1 y 9-(4-8x)/4 => y 2x 8 =>y 4x +9 =>y= -3x 21 From the above equation it can be observed that lines (i), (v) and (vi) can't intersect each other since they parallel. And (i) and (v) are exactly same. are

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