The given equation is already in slope-intercept form, , which provides the slope.

The slope of the perpendicular line is the negative reciprocal of this slope.

Substitute the given slope.

The answer is:  

When finding the slope of a perpendicular line, the slope will be the negative reciprocal of the slope of the given equation. 

In order to determine the slope from the given equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

The slope is ; therefore, the slope of the perpendicular line is .

When finding the slope of a perpendicular line, the slope will be the negative reciprocal of the slope of the given equation. 

In order to determine the slope from the given equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

In this case, we need to convert the equation into slope-intercept form.

Subtract  from both sides. 

Divide both sides by .

Rewrite.

Identify the slope.

The slope is ; therefore, the slope of the perpendicular line is .

When finding the slope of a perpendicular line, the slope will be the negative reciprocal of the slope of the given equation. 

In order to determine the slope from the given equation we need to make sure that it is written in the following format:

If the equation of a line is written in the slope-intercept form, then  is slope and  is the y-intercept.

The slope of  is . The slope of the perpendicular line is , which is the same as .

The equation  is a vertical line, which means there is a zero denominator for the run.   The slope is undefined for vertical lines.

The perpendicular line will intersect this equation with a ninety degree angle, which means that the line is rotated ninety degrees, and will form a horizontal line.  Recall that the slopes of horizontal lines are zero.

The slope of a line perpendicular to  is zero.

The slope must be the negative reciprocal and the line must pass through the point (3,2).  So the slope becomes  and this is plugged into  to solve for the -intercept.

Perpendicular lines have slopes that are negative inverses of each other. Since the original equation has a slope of , the perpendicular line must have a slope of . The only other equation with a slope of  is .

First, convert given equation to the slope-intercept form.

In this format, we can tell that the slope is . The slope of a perpendicular line will be the negative reciprocal, making .

Next, substitute the slope into the slope-intercept form to get the intercept, using the point give in the question.

The perpendicular equation becomes . This equation can be re-written in the format of the asnwer chocies.

, or

Perpendicular lines have slopes that are negative reciprocals of one another. The slope of the given line is 9, so a line that is perpendicular to it must have a slope equivalent to its negative reciprocal, which is .

Perpendicular lines have slopes that are negative reciprocals of each other. The given line has a slope of . The negative reciprocal of is , so the perpendicular line must have a slope of . The only line with a slope of is .