Final answer:
The correct equation of the line in point-slope form using the ordered pair (-3,1) and a given slope of 3 is y = 3x + 10.
Step-by-step explanation:
To write the equation of a line in point-slope form using the ordered pair (-3,1), we need to substitute this point into the point-slope equation, which is y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.
Based on the information given, the slope of the line is 3, as it rises 3 units on the vertical axis for every 1 unit it moves along the horizontal axis.
The equation in point-slope form that corresponds to the ordered pair (-3,1) and has a slope of 3 is y - 1 = 3(x + 3), which simplifies to y = 3x + 10.
This matches option d) y = -3x + 10, which must be an error in the question as it contradicts the given positive slope. The correct answer, reflecting the given slope, is y = 3x + 10.