anonymous
  • anonymous
help please i need step by step shown: the line passing through (2,b) and (4,6) is parallel to the line joining (1,4) and (-1,7) find b.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@tomo
anonymous
  • anonymous
find the slope of each line. set the two sides equal to each other to find b. slope = (y2-y1)/(x2-x1) using (2,b) and (4,6) (x1,y1) = (2,b) (x2,y2) = (4,6) (6-b)/(4-2) (6-b)/2. that is the slope of the line with (2,b) and (4,6) as two points on the line. find the slope of the other line, then post what you get. then we can go from there.
anonymous
  • anonymous
the other is 7-4/-1-1= 3/-2 so what do i need to do from here?

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anonymous
  • anonymous
ok, we know that the two lines are parallel, therefore their slopes are equal. set their slopes equal and solve for b. (6-b)/2 = (3/-2)
anonymous
  • anonymous
what would the 6-b/2 be?
anonymous
  • anonymous
you want to cross multiply. (6-b)/2 = (3/-2) (6-b)*(-2) = (2*3) -12+2b = 6 2b = 18 b = 9
anonymous
  • anonymous
oh okay i thought i had to multiply as is im sorry. Thanks.
anonymous
  • anonymous
yw

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