Final answer:
The standard form of the equation of the line with a slope of 3 and containing the point (0, -7) is 3x - y = -7.
Step-by-step explanation:
The standard form of the equation of a line is given by Ax + By = C, where A, B, and C are constants.
To find the equation of a line with a slope of 3 and containing the point (0, -7), we can use the point-slope form of the equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plugging in the values, we have y - (-7) = 3(x - 0), which simplifies to y + 7 = 3x.
To convert this equation to standard form, we move all the terms to one side of the equation: 3x - y = -7.
Therefore, the standard form of the equation of the line is 3x - y = -7.