Final answer:
To find the slope between points (1, 0.1) and (7, 26.8), the slope formula is used, resulting in a slope of 4.5. All provided options, A, B, and C, represent linear equations.
Step-by-step explanation:
The subject of the student's question is determining the slope of a line that passes through two given points. When we want to find the slope between two points, such as Point 1: (1, 0.1) and Point 2: (7, 26.8), we use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Substituting the given points into the formula, we get:
Slope (m) = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45, which can be rounded to 4.5 as one of the answer choices provided in the question.
Thus, the answer to the student's question is (b) 4.5.
To identify which of the given equations are linear, we look for equations that have no exponents on the variables and are of the first degree. This means each certainly linear equation will be of the form y = mx + b where m is the slope and b is the y-intercept. Therefore, the answers are:
- A. y = -3x
- B. y = 0.2 +0.74x
- C. y=-9.4 - 2x
Options A, B, and C are linear equations. However, since the question asks which equations are linear, without specifying whether to select one or more, the complete answer would be D. A and B and C, though this letter choice isn't provided.