Question

Can someone please help me I’ll upvote PLEASE

Answer 1

Hi there!

Two lines are said to be parallel when their slopes are Equal.

Slope of Graph =
`(y_2 - y_1)/(x_2 - y_1)`

According to th' question :-

→ CD :
`(10 - 2)/(4 - 6)` =
`(8)/(-2)` = - 4


→ EF :
`(5 - 9)/(2 - 1)` =
`(-4)/(1)` = - 4


→ JK :
`(3 - 2)/(12 - 8)` =
`(1)/(4)`


→ GH :
`(4 - 0)/(1 - 1)` [ Not defined. ]


∴ AB = CD = EF = - 4


`\bf{CONCLUSION}` :-

Lines CD and EF are parallel to AB

Hence,
Option 1ˢᵗ and 3ʳᵈ is Correct.

~ Hope it helps!

Answer 2

So two lines that are parallel will have the same slope, and to calculate the slope you have to use the formula
`(y_2-y_1)/(x_2-x_1)`

CD:
`(10-2)/(4-6) =(8)/(-2) =-4` .

JK:
`(3-2)/(12-8) =(1)/(4)`

EF:
`(5-9)/(2-1) =(-4)/(1) =-4`

GH:
`(4-0)/(1-1) =(4)/(0)` (undefined)

In short, Lines CD and EF are parallel.