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Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?

y – 7 = 3(x – 1)
y – 1 = 3(x – 7)
y – 7 = 4(x – 1)
y – 1 = 4(x – 7)

Respuesta :

aribeccawil
I think the answer is the third choice.

The equation that represents the same line containing point (1, 7) is as follows:

y - 7 = 4(x - 1)

Slope intercept form equation:

  • y - y₁ = m(x - x₁)

where

m = slope

The graph of the line contains (1, 7) .He represent the line correctly as f(x) = 4x + 3.

The equation that represent the same line is as follows:

Using the model:

y = mx + b

Therefore,

m = 4

Finally , the equation is as follows:

  • y - 7 = 4(x - 1)

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