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Does the line passing through the points (3, 3) and (7, 11) intersect the line passing through the points (5, 8) and (13, 24

User Carter Shaw
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1 Answer

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14 votes

Answer:

I understand why you are asking about this Ammaria, these type of questions take a lot of understanding of graphing. Please feel ok asking me questions :)

Explanation:

we are given two points

P1 = (3,3) in the form (x1,y1)

P2 = (7,11) in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (11-3) / (7-3)

m = 8 / 4

m = 2

now use the slope along with one of the given points, either one will work, i'll use P1 , and put that into the point-slope formula.

y-3 = 2(x-3)

y -3 = 2x -6

y = 2x -3

So with the above formula we can check to see if the points work by plugging them into the formula.

P3 = (5,8)

8 = 2(5) - 3

no point 3 does not work so it's not on the line

P4 = (13, 24)

24 = 2(13) - 3

no point 4 does not work either.