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
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