Final answer:
The equation of the line with a slope of 3 that passes through (-2, 1) is y = 3x + 7, which is derived using the point-slope form.
Step-by-step explanation:
The question asks to find an equation of a line with a slope of 3 that passes through the point (-2, 1). To find this equation, we can use the point-slope form of a line's equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.
Plugging the values into the point-slope form:
y - 1 = 3(x + 2)
Distributing the slope on the right side:
y - 1 = 3x + 6
Finally, adding 1 to both sides to solve for y, we get:
y = 3x + 7
This is the equation of the line with a slope of 3 that passes through (-2, 1).