Write the slope-intercept form of the equation of each line

slope intercept: y=3x-2

Step-by-step explanation:

for slope intercept you will put y because that is the intercept we are looking for

from looking at the graph you see the y intercept is -2

next, we will go ahead and found out how many blocks we go up in comparison to how many we go over. We can start at the -2,0 and see that the next time we actually touch a corner (are at a full block) is at the 1,1. We can see that we went up 3 blocks just to go over 1 block. This gives us our slope

Slope intercept form is Y=mX+b

Y is what we are looking for so we will leave it as y

m is the slope: 3/1

x is the x coordinate (we will leave it at x)

b is the y coordinate we found (-2)

fill in the blanks and you get y=3x-2

∠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.