Answer:
[tex]y=-\frac{1}{2} x +2[/tex]
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} = \frac{-2-4}{8-(-4)} =\frac{-6}{12} = -\frac{1}{2}[/tex]
So for a movement along the x-axis left to right by 2 the y-axis drops by 1
This the equation at this point is =
[tex]y=-\frac{1}{2} x+c[/tex]
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Pick any of the two points (x,y) . let's choose ( 8 , -2 )
[tex]y2=-\frac{1}{2} x2+c \\\\..\\\\-2=(-\frac{1}{2} )(8)+c\\-2=-4+c\\\\..\\\\c=2[/tex]
SO ..
[tex]y=-\frac{1}{2} x+2[/tex]
