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Step2247 [10]
3 years ago
9

What ordered pair is a solution for y-4=7(x-6)

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Step-by-step explanation:

The point-slope form of a linear equation is:

y-y_{1}=m(x-x_{1}) , where

  • m is the slope of the line
  • (x_{1},y_{1}) is a point on the line

Any point on the line is a solution for the equation of the line

The solution of an equation is the values of x and y which make the left hand side is equal to the right hand side

∵ The equation is y - 4 = 7(x - 6)

- Compare the equation by the point-slope form above

∴ m = 7

∴ x_{1} = 6 and y_{1} = 4

- That means point (6 , 6) lies on the line

∴ Point (6 , 4) is a point on the line which represents the

   given equation

∵ Any point on a line is a solution of the equation of that line

∴ (6 , 4) is a solution of the equation

The ordered pair (6 , 4) is a solution for y - 4 = 7(x - 6)

Learn more:

You can learn more about the linear equations in brainly.com/question/1284310

#LearnwithBrainly

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