Respuesta :
Answer:
Step-by-step explanation:
Plato Answer simplified:
(4,4) (8,9) - y=1.25x+4
(5,2) (7,-5) - y=-3.5x-15
(11,6) (5,9) - y=-0.5x-3
(5,-7) (4,-12) - y=5x+19
Example of how to do it in your head if you have multiple choice:
Note the order, you start from right to left with the coordinates...
(4,4) (8,9) - y=1.25x+4
9 - 4 The Y's 5
8 - 4 The X's 4
_
1.25x
(5,2) (7,-5) - y=-3.5x-15
-5 - 2 The Y's -7
7 - 5 The X's 2
_
-3.5x
(11,6) (5,9) - y=-0.5x-3
9 - 6 The Y's 3
5 - 11 The X's -6
_
-0.5x
(5,-7) (4,-12) - y=5x+19
-12 - -7 The Y's -5
4 - 5 The X's -1
_
5x
The correct match for parallel lines should be DE for [tex]y = -0.5x - 3[/tex], BC for [tex]y = -3.5x -15[/tex], LM for [tex]y = 5x + 19[/tex] and HI for [tex]y = 1.25x + 4[/tex].
Given information:
The given pair of points are:
- B(5, 2) and C(7, -5)
- D(11, 6) and E(5, 9)
- F(-7, 12) and G(3, -8)
- H(4, 4) and I(8, 9)
- J(7, 2) and K(-9, 8)
- L(5, -7) and M(4, -12)
The given lines are:
- [tex]y = -0.5x - 3[/tex]
- [tex]y = -3.5x -15[/tex]
- [tex]y = 5x + 19[/tex]
[tex]y = 1.25x + 4[/tex]
Now, the slope of the lines passing through the given points will be,
[tex]m_{BC}=\dfrac{-5-2}{7-5}=\dfrac{-7}{2}=-3.5\\m_{DE}=\dfrac{9-6}{5-11}=\dfrac{-1}{2}=-0.5\\m_{FG}=\dfrac{-8-12}{3+7}=-2\\m_{HI}=\dfrac{9-4}{8-4}=\dfrac{5}{4}=1.25\\m_{JK}=\dfrac{8-2}{-9-7}=\dfrac{-6}{16}=-0.375\\m_{LM}=\dfrac{-12+7}{4-5}=\dfrac{5}{1}=5[/tex]
Now, the slope from the given equations of the lines is,
-0.5 for [tex]y = -0.5x - 3[/tex], -3.5 for [tex]y = -3.5x -15[/tex], 5 for [tex]y = 5x + 19[/tex] and 1.25 for [tex]y = 1.25x + 4[/tex].
For parallel lines, the slope is equal.
Therefore, the correct match for parallel lines should be DE for [tex]y = -0.5x - 3[/tex], BC for [tex]y = -3.5x -15[/tex], LM for [tex]y = 5x + 19[/tex] and HI for [tex]y = 1.25x + 4[/tex].
For more details. refer to the link:
https://brainly.com/question/14511992
