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## krissywatts 2 years ago 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.

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1. krissywatts

@tomo

2. tomo

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.

3. krissywatts

the other is 7-4/-1-1= 3/-2 so what do i need to do from here?

4. tomo

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)

5. krissywatts

what would the 6-b/2 be?

6. tomo

you want to cross multiply. (6-b)/2 = (3/-2) (6-b)*(-2) = (2*3) -12+2b = 6 2b = 18 b = 9

7. krissywatts

oh okay i thought i had to multiply as is im sorry. Thanks.

8. tomo

yw

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