Hey I need help on this question not getting it, if one of you could please help me it would mean alot! Thank you!!

A. y=-0.5x-2.5

Step-by-step explanation:

To figure out the equation of a line, use the formula y=mx+b, where x and y are the co-ordinate values, m is the slope and b is the y-intercept (where the line cuts the y-axis).

The slope, m, is calculated by dividing the y-difference (in this case, -2.5) by the x-difference (5): -2.5/5 = -0.5

From the diagram, we can see the line cuts the y-axis at (0,-2.5). Therefore b=-2.5

Sub in our values to get: y=-0.5x-2.5

we need the options

step-by-step explanation:

∠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.