Use the slope formula to find the slope between the given two points. 7. (4,9) and (1,6)
8. (-4,-1) and (-2,-5)
9. (5, 3) and (5,-9)
10. (2, 1) and (8,9)
11. (14, -8) and (7,-6)
12. (4, -3) and (8, -3)
13. (-7,-5) and (2,-8)
14. (-11, 1) and (-2, 6)
15. (-5, -1) and (-7, 2)

7. 1

8. -2

9. undefined (meaning the line goes straight up and down)

10. 4/3

11. -2/7

12. 0 (meaning it is completely flat)

13. -1/3

14. 5/9

15. -3/2 or -1.5

Step-by-step explanation:

47

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.