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Naddik [55]
3 years ago
9

(7,5), (r,9) m=6 What is r?

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

The answer is that r = 7/6

Step-by-step explanation:

Given point: (7, 5)

Given slope: m = 6

Use the point slope form of the equation:

y - y1 = m(x - x1)

y - 5 = 6(x - 7)

y - 5 = 6x - 7

y = 6x + 2

Now, find r for the point (r, 9) by substitution:

9 = 6x + 2

6x + 2 = 9

6x = 7

x = 7/6

Proof:

y = 6x + 2

f(x) = 6x + 2

f(7/6) = 6(7/6) + 2

= 42/6 + 2

= 7 + 2 = 9, giving (7/6, 9). r = 7/6

Hope this helps! Have a great day!

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Givens
OA = 12
OB = 9
O does not lie on AB

Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right. 

Mark your distances as follows.
OB = 9
BA = 3

Mark the midpoint of OA = M1
Mark the midpoint of OB = M2

M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5

The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2  = 1.5 <<<<

Nice problem: Thanks for posting.
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