What is the equation of a line that is perpendicular to and passes through the point (4, 6)?A.B.C.D.

To generate the equation of a line that is perpendicular to another line and passing through a specific point, we need more information about the original line, such as its slope or equation. Since that information is not provided, we cannot determine the exact equation of the perpendicular line.

However, I can demonstrate how to find the equation of a line once we know the slope of the given line. Here's a general process for solving such a problem:

1. Identify the slope of the given line: If the equation of the line is in the form $y = mx + b$, where $m$ is the slope, simply find the value of $m$.

2. Find the slope of the perpendicular line: The slope of any line that is perpendicular to another is the negative reciprocal of the original line's slope. If the slope of the original line is $m$, the slope of the perpendicular line is $-\frac{1}{m}$.

3. Use the point-slope form of a line: The equation of the line can be written using the point-slope formula: $y - y_1 = m(x - x_1)$ where $(x_1, y_1)$ is the point through which the line passes (in this case, (4, 6)) and $m$ is the slope from step 2.

4. Convert to slope-intercept or standard form if necessary: You may want to rearrange the equation into the standard form or slope-intercept form depending on the requirements.

Without the specific equation or slope of the original line, I cannot provide an exact final answer. If you have that detail, please share it, and I will give you the precise equation.