 # Can perpendicular lines both have positive slopes?

## Can perpendicular lines both have positive slopes?

Take note that two lines are perpendicular if their product of theirs slopes is -1. So when we have two positive slopes, their product will be positive. Therefore, when two lines have positive slopes, they are not perpendicular.

## Can perpendicular lines have both negative slopes?

Perpendicular lines are two coplanar lines that intersect at a right angle (90º). These vertical and horizontal lines are perpendicular to one another. But, expressing their slopes as negative reciprocals is not mathematically possible.

What is the slope of 2 perpendicular lines?

Perpendicular lines are lines that intersect at right angles. The slope of the line with equation y=3x+2 is 3 . If you multiply the slopes of two perpendicular lines, you get −1 .

### How do you know if a slope is perpendicular?

Explanation: If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .

### How do you know if a line is parallel or perpendicular?

Answer: Lines with the same slope are parallel and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular.

How do you prove 2 lines are perpendicular?

#### What type of lines have the same slope?

As mentioned above, parallel lines have the same slope.

#### How do you know if 2 lines are parallel?

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.

How does the slope between two perpendicular lines compare?

Compare the two slopes for perpendicularity. Perpendicular lines slope in opposite directions, so one line has a positive slope, and the other has a negative slope. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular: the second line’s slope must equal -1 divided by the slope of the first line.

## Do perpendicular lines have opposite slopes true or false?

Perpendicular lines do not have the same slope . The slopes of perpendicular lines are different from one another in a specific way. The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1.

## Which is example of perpendicular lines?

It specifically is talking about the relationship between two different lines who intersect at a 90 degree angle. Two lines that cross at 90 degrees are said to be perpendicular to each other. A good example of this is the familiar x-y axis.

What are some examples of a perpendicular line?

Football field

• Railway track crossing
• First aid kit
• Construction of a house in which floor and the wall are perpendiculars
• Television
• Designs in windows