Final answer:
In Mathematics, specifically algebra, options A, B, and C given in the question are linear equations because they fit the standard linear format of y = a + bx with constant slopes and no exponents on x higher than one.
Step-by-step explanation:
The subject of the question provided is Mathematics, specifically the area of linear equations within Algebra. When analyzing which equations are linear, we must consider the standard form y = a + bx, where a is the y-intercept and b represents the slope, and x is the independent variable. Linear equations have a constant slope and do not have any exponents on the x terms higher than 1.
Let's evaluate the given options in the question:
- A. y = -3x is linear because it can be rewritten as y = 0 - 3x, where the y-intercept a is 0 and the slope b is -3.
- B. y = 0.2 + 0.74x is also linear with a y-intercept of 0.2 and a slope of 0.74.
- C. y = -9.4 - 2x is linear as well and can be written in the standard form as y = -9.4 + (-2)x, with a y-intercept of -9.4 and a slope of -2.
Therefore, the correct answer is D. A and B, as option C is also a linear function. All three equations represent linear functions because they are of the form y = a + bx with constant slopes and no x terms raised to powers higher than 1.