Final answer:
All options A, B, and C provided are linear equations as they all can be written in the slope-intercept form of a straight line, y = mx + b. Hence, the correct answer is e. A, B, and C.
Step-by-step explanation:
The question relates to slope-intercept form of linear equations which can be represented as y = mx + b, where m is the slope and b is the y-intercept. When identifying linear equations, we are looking for equations that can be written in this form. According to Practice Test 4 Solutions for 12.1 Linear Equations, options A, B, and C are all linear equations. They all represent a direct relationship between x and y, with the slope (m) indicating the steepness of the line, and the y-intercept (b) indicating where the line crosses the y-axis.
Let's take a look at the provided options:
- 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 also a linear equation with a slope of 0.74 and a y-intercept of 0.2.
- C. y = -9.4 - 2x: Similarly, this is a linear equation with a slope of -2 and a y-intercept of -9.4.
Therefore, the correct answer for which equations are linear would be:
e. A, B, and C.
Remember, in the slope-intercept form, the b and m terms can be identified on the graph of the line. The y-intercept is the point where the line intersects the y-axis, while the slope indicates the rate at which y increases or decreases as x increases.