Final answer:
The standard form of the equation for line p is x - 2y = -6.
Step-by-step explanation:
The standard form of the equation for a line is Ax + By = C, where A, B, and C are constants.
To find the equation for line p, we can use the point-slope form of the equation: y - y1 = m(x - x1).
Given that the slope m is 1/2 and the point (x1, y1) is (-2, -4), we can substitute these values into the equation and simplify to get the standard form.
Substituting the values, we have: y - (-4) = (1/2)(x - (-2)).
Simplifying further, we get: y + 4 = (1/2)(x + 2). Multiplying through by 2 to clear the fraction, we have: 2(y + 4) = x + 2.
Rearranging the terms, we get the standard form of the equation for line p: x - 2y = -6.