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Write equation given linear situation calculator

A) (−[infinity],2)
B) (−[infinity],2]
C) (2,[infinity])
D) [2,[infinity])

1 Answer

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Final answer:

All options A, B, and C represent linear equations because they can all be written in the standard linear form y = mx + b. Equations y = -3x, y = 0.2 +0.74x, and y = -9.4 - 2x all exhibit characteristics of linear equations, such as having constant slopes and y-intercepts.

Step-by-step explanation:

Identifying Linear Equations

Based on the practice test information provided, we're asked to determine which equations are linear. A linear equation is any equation that can be written in the form y = mx + b, where m and b are constants and x and y are variables. With this definition, all the options provided are indeed linear:

  • A. y = -3x: This is a linear equation with a slope of -3 and a y-intercept of 0.
  • B. y = 0.2 +0.74x: This is a linear equation with a slope of 0.74 and a y-intercept of 0.2.
  • C. y = -9.4 - 2x: This is a linear equation with a slope of -2 and a y-intercept of -9.4.

Therefore, the correct answer is E. A, B, and C as mentioned in the solutions of the practice test. It's important to remember that linear equations form straight lines when graphed and can have either a positive, negative, or zero slope.

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