Final answer:
Using the specific linear equation y = 9 + 3x as a reference, none of the provided options match exactly. Option B, y = 3x + 2, has the correct slope of 3 but a different y-intercept than the reference. It's likely there is a typo in the question.
Step-by-step explanation:
To find the equation for a given set of data using the formula y = mx + b, where m represents the slope and b represents the y-intercept, we look for matching values in the equation provided in the question's context, which is y = 9 + 3x. Here, the slope (m) is 3 and the y-intercept (b) is 9.
Comparing the options given, none matches the provided equation exactly. However, if this is a typo in the multiple-choice options and we are meant to find the closest match:
- Option A) y = 2x + 3 has a different slope and y-intercept.
- Option B) y = 3x + 2 has the correct slope but a different y-intercept.
- Option C) y = 4x + 1 has different slope and y-intercept.
- Option D) y = 1x + 4 has a different slope and y-intercept.
If we assume there is an error in the question, based on the slope alone, the closest match is option B) y = 3x + 2.