Final answer:
The equation of the line through the point (5,1) with a slope of -3 is y - 1 = -3(x - 5).
Step-by-step explanation:
The equation of the line through the point (5,1) with a slope of -3 is y - 1 = -3(x - 5).
To find the equation of a line, we can use the point-slope form of the line, which is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.
Plugging in the values (5,1) for (x1, y1) and -3 for m, we get y - 1 = -3(x - 5).