To determine if two lines are perpendicular, we must compare the slopes.  To do that, we must write the equations in slope-intercept form

where m is the slope.  Perpendicular lines have slopes that are opposite reciprocals of each other.  In other words, different signs and switch the numerator and the denominator.  

In the original equation

we must write it in slope-intercept form.  To do that, we will divide each term by -5.

We see that the slope of this line is -5.  A line that is perpendicular to this line will have a slope that is the opposite reciprocal of -5.  So a perpendicular line will have a slope of .

A line perpendicular to another line has a slope that is the negative reciprocal of the other. In our case, the line given has a slope of  ( in the form ), so the line perpendicular to it must have a slope equal to .

We will need to rewrite this equation given in standard form to slope intercept form.

Subtract  on both sides.

Simplify.

Divide by three on both sides.

The slope of this line is:  

The perpendicular slope is the negative reciprocal of this slope.

The answer is:  

When finding the slope of a perpendicular line, we need to ensure we have  form. 

 stands for slope.

Our  is .

To find the perpendicular slope, we need to take the negative reciprocal of that value which is .

When finding the slope of a perpendicular line, we need to ensure we have  form. 

We need to solve for .

By subtracting  both sides and dividing  on both sides, we get 

Recall that  stands for slope.

Our  is .

To find the perpendicular slope, we need to take the negative reciprocal of that value which is .

When finding the slope of a perpendicular line, we need to ensure we have  form. 

We need to solve for .

By subtracting  both sides and dividing  on both sides, we get 

Recall that  stands for slope.

Our  is .

To find the perpendicular slope, we need to take the negative reciprocal of that value which is .

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 .