Final answer:
The equation that represents a line with a slope of 3 and passes through the point (-2, 1) is y = 3x + 7.
Step-by-step explanation:
The equation that represents a line with a slope of 3 and passes through the point (-2, 1) is y = 3x + 7.
To find the equation, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values (-2, 1) for (x1, y1) and 3 for the slope, we get y - 1 = 3(x - (-2)).
Simplifying the equation gives us y - 1 = 3x + 6. Moving the -1 to the right side of the equation gives us y = 3x + 7, which is the equation of the line.