Final answer:
Options A, y = -3x, and B, y = 0.2 + 0.74x, are linear equations because they fit the form y = mx + b, representing a line on the Cartesian plane. Option C, y=-9.4 - 2x, is also linear despite not being indicated in the original question.
Step-by-step explanation:
The question provided is part of Practice Test 4 under the section 12.1 Linear Equations. To determine which of the given options (A, B, C, or D) represent linear equations, we need to understand the definition of a linear equation. A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Linear equations can be represented in the form y = mx + b, where m is the slope and b is the y-intercept.
- A. y = -3x is a linear equation because it matches the form y = mx + b, where m = -3 and b = 0.
- B. y = 0.2 +0.74x is also a linear equation with m = 0.74 and b = 0.2.
- C. y=-9.4 - 2x is linear as well, with m = -2 and b = -9.4.
Therefore, options A and B are linear equations. Option C is also linear, which was not listed in the question but is true based on the definition of linear equations.