Equations of Perpendicular Lines
Equations of perpendicular lines play a fundamental role in geometry and algebra, offering a concise way to describe the relationship between lines in a plane. When two lines are perpendicular, their slopes are negative reciprocals of each other, resulting in a right angle between them. Understanding how to determine the equation of a line perpendicular to another given line is essential for solving various problems in mathematics and real-world applications, such as engineering, physics, and architecture. This concept provides a powerful tool for analyzing spatial relationships and constructing geometric figures with precision and accuracy.
Questions
- What is the slope of any line perpendicular to the line passing through #(-24,19)# and #(-8,15)#?
- What is the equation of the line perpendicular to #y=-25/3x # that passes through # (-1,-6) #?
- What is the slope of any line perpendicular to the line passing through #(44,15)# and #(-5,-3)#?
- What is the slope of any line perpendicular to the line passing through #(16,6)# and #(-2,-13)#?
- How do you write an equation of a line passing through (2, -8), perpendicular to #4x+5y=7#?
- What is the equation of the line in slope-intercept form that passes through the point (3, –5) and is perpendicular to y = –3x + 4?
- How do you find the slope perpendicular to (-7,2) and (5,-12)?
- What is the slope of any line perpendicular to the line passing through #(3,13)# and #(-8,17)#?
- Are the graph #y=-3x+7# and # y=-3x+2# perpendicular?
- The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?
- What is the slope of the line perpendicular to this line: y=2x-3?
- Are the graph # y=x# and #y=3# perpendicular?
- What is the slope of a line perpendicular to the line #3x - y = 8#?
- How you find the value of m so that the lines with equations #-3y+2x=4# and #mx + 2y = 3# are perpendicular?
- How do you find the slope that is perpendicular to the line #y=3x+2 #?
- How do you write an equation of a line given (-5, -8) and is perpendicular to 10x – 6y = -11?
- If the slope of a line is -2/3, what is the slope of a line that is perpendicular to it?
- What is the slope of any line perpendicular to the line passing through #(13,-7)# and #(5,-2)#?
- What is the equation of the line that passes through #(0,-1)# and is perpendicular to the line that passes through the following points: #(8,-3),(1,0) #?
- What is the slope of any line perpendicular to the line passing through #(-3,-12)# and #(5,-3)#?