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

asked Oct 11, 2021 120k views

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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

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1 vote

Answer:

Explanation:

Hey there) The formula of your line is:

$-2=2k+b\\2=-6k+b\\=>4=-8k\\k=-0.5\\=> b=-2+1=-1\\=>y=-(1)/(2)x-1\\$

If point has y=-4, then:

$-4=-(1)/(2)a-1\\4=(1)/(2)a+1\\a=6$

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

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