What is the y-intercept for the equation 2y + 4x = 8?
a) -2
b) 4
c)2
d) -4

The answer to your question is the letter B.

Step-by-step explanation:

Data

       2y + 4x = 8

Process

To find the y-intercept, just solve the equation of y.

1.- Subtract 4x in both sides of the equation

                     2y + 4x - 4x = -4x + 8

2.- Simplify

                           2y = -4x + 8

3.- Divide both sides by 2

                          2y/2 = (-4x + 8)/2

4.- Simplify

                              y = -2x + 4

5.- Find the y-intercept

The y-intercept is the number that has no variable on the right side of the equation.

In this example is 4      

∠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.

1.true 2.false? ? i think. .

step-by-step explanation: