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 = $\dfrac{y_2 - y_1}{x_2 - y_1}$

According to th' question :-

→ CD : $\dfrac{10 - 2}{4 - 6}$ = $\dfrac{8}{-2}$ = - 4


→ EF : $\dfrac{5 - 9}{2 - 1}$ = $\dfrac{-4}{1}$ = - 4


→ JK : $\dfrac{3 - 2}{12 - 8}$ = $\dfrac{1}{4}$


→ GH : $\dfrac{4 - 0}{1 - 1}$ [ 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 $\frac{y_2-y_1}{x_2-x_1}$

CD: $\frac{10-2}{4-6} =\frac{8}{-2} =-4$ .

JK: $\frac{3-2}{12-8} =\frac{1}{4}$

EF: $\frac{5-9}{2-1} =\frac{-4}{1} =-4$

GH: $\frac{4-0}{1-1} =\frac{4}{0}$ (undefined)

In short, Lines CD and EF are parallel.