kellytown489
kellytown489 kellytown489
  • 25-01-2020
  • Mathematics
contestada

A line passes through the points (2,-2) and (-6,2). The point (a.-4) is also on the line. What is the value of a?
-10
8
6
+
4
-2
2
4
6
8
10
x​

Respuesta :

MrSolution
MrSolution MrSolution
  • 25-01-2020

Answer:

6

Step-by-step explanation:

Hey there) The formula of your line is:

[tex]-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-\dfrac{1}{2}x-1\\[/tex]

If point has y=-4, then:

[tex]-4=-\dfrac{1}{2}a-1\\4=\dfrac{1}{2}a+1\\a=6[/tex]

Hope this helps) Have a nice day/night :)

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