jennlthomas72p3su1c jennlthomas72p3su1c
  • 24-02-2021
  • Mathematics
contestada

two line segments are parallel to each other. The first line segment has endpoint at (2, 3) and (1, 9). The second line segment has in points at (5, 4) and (3, y). What is the value of y?

Respuesta :

icerina006
icerina006 icerina006
  • 24-02-2021

Answer:

16

Step-by-step explanation:

since they are parallel, they should have the same gradient

the gradient for first line is:

[tex]\frac{9-3}{1-2}=\frac{6}{-1} =-6[/tex]

so gradient for second line is also -6

[tex]\frac{y-4}{3-5}=-6[/tex]

[tex]\frac{y-4}{-2}=-6[/tex]

y-4 = -6×-2

y-4 = 12

y=12+4=16

check: [tex]\frac{16-4}{3-5}=\frac{12}{-2}=-6[/tex]

please mark brainliest

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