Final answer:
The equation of a line in general form passing through the point (1, -2) with a slope of 3 is 3x - y = 5.
Step-by-step explanation:
To find the equation of a line in general form that passes through the point (1, -2) with a slope of 3, you can use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) are the coordinates of the given point. In this case, m = 3, x1 = 1, and y1 = -2. Plugging these values into the point-slope form gives us:
y - (-2) = 3(x - 1)
To simplify, we distribute and move terms around to get the general form:
y + 2 = 3x - 3
By subtracting y from both sides and adding 3, the equation in general form becomes:
3x - y = 5
This is the desired equation in general form.