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A line through (-1, b) and (c,8) is parallel to a line through (-6,3) and (0,12). Find values of b and c that make the statement true.
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The parallel lines have the same slope (m)
m= (y2 - y1) / (x2 - x1)
Point 1 (-6,3) ; x1 = -6 ; y1 = 3
Point 2 (0,12); x2 = 0; y2 = 12
m= (12 - 3) / (0 - (-6))
m= 9 / 6
m= 3/2
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m= (y2 - y1) / (x2 - x1)
Point 1 (-1,b) ; x1 = -1 ; y1 = b
Point 2 (c,8); x2 = c; y2 = 8
m =3/2 = (8- b ) / (c-(-1))
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3= 8-b
b= 8-3
b= 5
2= c+1
c= 2-1
c= 1
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To verify
m = (8- b ) / (c-(-1))
m = (8- 5 ) / (1-(-1))
m= 3 / 2
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