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A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16

Sagot :

  • A line passes through (9,2) and (12,-4).
  • So, x = 9, y = 2
  • x = 12, y = -4

For the 1st equation,

  • 2x + y = 20
  • Putting x = 9, y = 2
  • or, 2 (9) + 2 = 20
  • or, 18 + 2 = 20
  • or, LHS = RHS
  • Now, putting x = 12, y = -4 in the above equation, we have
  • 2(12) + (-4) = 20
  • or, 24 - 4 = 20
  • or, LHS = RHS.
  • So we can see that the first equation is the equation of the line.
  • This is given in the graph in the picture.
  • Like this way, if we check with other equations, we see that they are not the required equation of the line.

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

Doubt clarification - use comment section.

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