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marta [7]
2 years ago
6

Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

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