Final answer:
The length of the line segment that joins the points (4, -1) and (7, 5) is 45.
Step-by-step explanation:
To find the length of the line segment that joins the points (4, -1) and (7, 5), we can use the distance formula. The distance formula is given by:
d = √[(x2 - x1)² + (y2 - y1)²]
Substituting the coordinates of the points, we have:
d = √[(7 - 4)² + (5 - (-1))²]
Simplifying, we get:
d = √[3² + 6²]
Thus, the length of the line segment is √[9 + 36] = √45. Therefore, the correct answer is D. 45.
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