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FromTheMoon [43]
3 years ago
10

A line has this equation : y = 9/4x + 9 Write an equation for the parallel line that goes through (12, 7) .

Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

y=9/4x-20

Step-by-step explanation:

Do the parallel line equation

7=9/4(12)+b

Solve for b

7=9×12÷4+b

7=27+b

subtract 27 to both sides

-20=b

Parallel lines have the same slope

y=9/4x-20

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3x-4y=<br> 3x−4y=<br> \,\,9<br> 9<br> -5x+4y=<br> −5x+4y=<br> \,\,-23<br> −23
Marta_Voda [28]

Answer: (7,3)

Step-by-step explanation:

<u>[Please check]:</u>   I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods:  Algebra and graphing.

<u>Algebra:</u>

Add the two equations:

  3x-4y=9

<u> −5x+4y=-23</u>

-2x = -14

   x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

<u>Graphing:</u>

See the attached graph.  The lines intersect at (7,3)

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