Given the linear function -8x + 4y = 12, circle all of the following that are equivalent representations. Explain using the properties of linear functions. A.
y = 2x + 3

B.
y = ½x + 3

C.
image

D.
image

E.
A line through the following points:

image

F.
A graph through the following points:

image

x-intercept(s): ( 12 , 0 ) y-intercept(s): ( 0 , 3 )

Step-by-step explanation:

i Honestly dont know but these are the x and y intercepts

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.