Final Answer:
The equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point
is B)

Step-by-step explanation:
To find the equation of a line perpendicular to a given line, we need to use the negative reciprocal of the slope of the given line. Let the given line have a slope of m. The negative reciprocal of m is -1/m.
The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
If the given line has a slope of 3, the perpendicular line will have a slope of -1/3. Now, substitute the coordinates of the given point (2, -1) into the equation and solve for the y-intercept:




Substitute the slope and y-intercept back into the slope-intercept form:

Multiply both sides by 3 to get rid of the fraction:

Now, rearrange to the slope-intercept form:

In summary, the equation of the perpendicular line passing through (2, -1) is
