JenayX359317 JenayX359317
  • 25-10-2022
  • Mathematics
contestada

Given A(-9, -12), B(-2, 2), C(x, 6).and D(-5, -2), find the value ofx so that AB || CD

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TennysonR716681 TennysonR716681
  • 25-10-2022
[tex]x=-1[/tex]

1) Given these line segments, let's find the slope of them. Let's begin with AB

[tex]m=\frac{2-(-12)}{-2-(-9)}=\frac{14}{-2+9}=\frac{14}{7}=2[/tex]

2) Parallel lines have the same slope, so let's set this slope formula so that we can get the slope m=2. Bearing in mind CD:

[tex]\begin{gathered} 2=\frac{-2-6}{-5-x} \\ 2=\frac{-8}{-5-x} \\ 2(-5-x)=-8 \\ -10-2x=-8 \\ -2x=-8+10 \\ -2x=2 \\ x=-1 \end{gathered}[/tex]

Thus, x=-1

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