Slopes of Perpendicular Lines
Read this topicExplanations 10
- (Video) Equations of Parallel and Perpendicular Lines by ProfRobBob Here's a good video by ProfRobBob going over some problems you might see involving parallel and perpendicular…
By Alex Federspiel, Amy Feraco
- (Video) Parallel and Perpendicular Lines by Mahalo Math Mahalo Math has a good video explaining equations of perpendicular lines and how to find them. Summary\large{\text{Summar…
By Ben Ferrara, Alex Federspiel, Amy Feraco
- (Videos) Perpendicular Line Graphs by HEGARTYMATHS Here's some videos by HEGARTYMATHS explaining perpendicular lines and doing some problems. Summary\large{\text{Summary}}Summar…
By Alex Federspiel, Amy Feraco
- (Video) Parallel and Perpendicular Lines by GVSUmath This video by GVSUmath describes parallel and perpendicular lines. Finding equations for parallel lines Parallel lines have …
By Stefan Cuevas, Alex Federspiel, Amy Feraco
- What are Perpendicular Lines? Perpendicular lines intersect once and always at a right (90°90°90°) angle. You can also identify two perpendicular lines by looking at their slope…
By Hannah Bonville, Alex Federspiel, Liza Sulkin
- (Video) Perpendicular Equations of Lines by mathman1024 Here's a video by mathman1024 showing you how to find an equation for a line given a perpendicular line and a point. Summ…
By Alex Federspiel, Amy Feraco
- (Video) Writing Equations of Perpendicular Lines by Friendly Math 101 Here's a video by Friendly Math 101 showing you how to find perpendicular lines. Summary\large{\text{Summar…
By Alex Federspiel, Amy Feraco
- Two perpendicular lines have opposite, reciprocal slopes. What does this mean? Let's break it up into parts. The word opposite can be used to mean many different things. In math…
By Grace Carey, Alex Federspiel
- In order to find the slope of a line perpendicular to another line, lets call it L1, there are two things we need to do. 1) Find the Reciprocal of the Slope of L1 2) Negate the …
By Paris
- Perpendicular Lines If two lines are not parallel, one other interesting possibility is that the lines are perpendicular, which means the lines form a right angle (909090 degree…
By Precalculus: An Investigation of Functions
Problems 49
- Which one of these lines is perpendicular to y=3x+3y=3x+3y=3x+3?
- Is the line y=3xy=3xy=3x perpendicular to y=x3y=\frac{x}{3}y=3x?
- Which line is perpendicular to y=57xy=\frac{5}{7}xy=75x?
- Which of the following properties are true about any two perpendicular lines?
- Suppose a line is perpendicular to another line of slope 777. What is its slope?
- Which lines are perpendicular to the line y=13x+2y=\frac{1}{3}x+2y=31x+2?
- Find the line perpendicular to y=6−16xy=6-\frac{1}{6}xy=6−61x and containing the point (−8,4)(-8,4)(−8,4).
- A line is given by the points (7,2)(7,2)(7,2) and (4,−9)(4,-9)(4,−9) and a perpendicular line to it is given by the points (−6,3)(-6,3)(−6,3) and (4,α)(4,\alpha)(4,α). Find α\al…
- The slope of line A is −710-\frac{7}{10}−107 and the slope of line B is 5035\frac{50}{35}3550. Are they perpendicular?
- The slope of line A is −45-\frac{4}{5}−54 and the slope of line B is α8\frac{\alpha}{8}8α. What value of α\alphaα makes the lines perpendicular?
- The slope of line A is αβ\frac{\alpha}{\beta}βα and the slope of line B is δϵ\frac{\delta}{\epsilon}ϵδ. Assuming α,β,δ,ϵ\alpha, \beta, \delta, \epsilonα,β,δ,ϵ are nonzero, wha…
- Find the line perpendicular to y=−13x−1y=-\frac{1}{3} x-1y=−31x−1 and containing the point (3,9)(3,9)(3,9).
- If the lines 2x+3y=52x+3y = 52x+3y=5 and 3x+ky=73x +ky = 73x+ky=7 are perpendicular, what is kkk?
- Find the slopes and determine if the pair of lines is parallel, perpendicular, or neither. Line 1: Passes through (0,6)(0,6)(0,6) and (3,−24)(3,-24)(3,−24) Line 2: Passes throug…
- Find the slopes and determine if the pair of lines is parallel, perpendicular, or neither. Line 1: Passes through (−8,−55)(-8,-55)(−8,−55) and (10,89)(10,89)(10,89) Line 2: Pass…
- Find the slopes and determine if the pair of lines is parallel, perpendicular, or neither. Line 1: Passes through (2,3)(2,3)(2,3) and (4,−1)(4,-1)(4,−1) Line 2: Passes through (…
- Find the slopes of the two lines and determine if the pair is parallel, perpendicular, or neither. Line 1: Passes through (1,7)(1,7)(1,7) and (5,5)(5,5)(5,5) Line 2: Passes thro…
- Find the slopes of the two lines, and determine if the pair is parallel, perpendicular, or neither. Line 1: Passes through (0,5)(0,5)(0,5) and (3,3)(3,3)(3,3) Line 2: Passes thr…
- Find the slopes and determine if the pair of lines below is parallel, perpendicular, or neither. Line 1: Passes through (2,5)(2,5)(2,5) and (5,−1)(5,-1)(5,−1) Line 2: Passes thr…
- Write an equation for a line perpendicular to h(t)=−2t+4h(t)=-2t+4h(t)=−2t+4 and passing through the point (−4,−1)(-4,-1)(−4,−1).
- Write an equation for a line perpendicular to h(t)=3t+4h(t)=3t+4h(t)=3t+4 and passing through the point (3,1)(3,1)(3,1).
- Find the equation of the line that is perpendicular to the line y=16x+3y=\frac{1}{6}x+3y=61x+3, and that also passes through the point (2,6)(2,6)(2,6).
- Find the equation of the line that is perpendicular to the line −13x+y=5-\frac{1}{3}x+y=5−31x+y=5 and passes through the point (2,4)(2,4)(2,4)
- As a city planner you are asked to build a new road that crosses the city grid at (3,2)(3,2)(3,2). There is already another road built, which can be expressed as y=2x−3y=2x-3y=2…
- Two boats are moving in perpendicular lines on an ocean grid. Boat number 1 starts at the coordinate points (0,1)(0,1)(0,1) and then intersects with boat 2 at the point (2,5)(2,…
- Bert is building a house on a hill and wants to make sure all of the angles he builds are right angles. Suppose that Bert was able to map each angle onto a 222-dimensional grid,…
- The Leaning Tower of Pisa has an 18∘18^{\circ}18∘ slant from center. If the tower was mapped onto a 2-dimensional grid, this would correspond to a slope of about 555. Given that…
- Solar panels produce energy from the sun most efficiently if the rays from the sun hit the panel at a 90∘90^{\circ}90∘ angle. Suppose a solar panel is positioned at a slope of 2…
- Sarah is running in a straight line, heading directly towards the finish line of a race. From the sideline, the finish line appears to have a slope of 49\frac{4}{9}94. If Sarah…
- If two lines are perpendicular and one has slope mmm, what is the product of their slopes?
- Suppose two perpendicular lines have slopes m1m_1m1 and m2m_2m2. What is the quotient m1÷m2m_1 \div m_2m1÷m2 in terms of m1m_1m1?
- Suppose two perpendicular lines have slopes m1m_1m1 and m2m_2m2. What is the product m1∗m2m_1 * m_2m1∗m2 in terms of m1m_1m1?
- Which two lines on the kite are perpendicular?
- Which of the following lines is perpendicular to y=76x+9y=\frac{7}{6}x+9y=67x+9?
- Which of the following lines is perpendicular to y=4x−3y = 4x-3y=4x−3?
- For a line to be perpendicular to another, their slopes must be:
- If a line has a slope, m1=32m_{1}=\frac{3}{2}m1=23, and another line has a slope, m2=r6m_{2}=\frac{r}{6}m2=6r, what value of rrr makes the second line perpendicular to the f…
- State whether these 222 lines are perpendicular. 2y+3=4x and 4y+2x=82y+3=4x \text{ and } 4y+2x=82y+3=4x and 4y+2x=8
- Find the slope of any line that is perpendicular to 7y−19x=97y-19x=97y−19x=9.
- Write an equation for the line that passes through (0,3)(0,3)(0,3) and is perpendicular to the line 8y+2x=108y+2x=108y+2x=10.
- State whether these 222 lines are perpendicular. 7y+8x=2 and 3y−9x=127y+8x=2 \text{ and } 3y-9x=127y+8x=2 and 3y−9x=12
- Find the slope of any line that is perpendicular to y=−811x+5y=-\dfrac{8}{11}x+5y=−118x+5.
- Which line is perpendicular to 9y=8x9y=8x9y=8x?
- Suppose you are building 222 new roads that intersect at a 90∘90^{\circ}90∘ angle. The first road can be expressed as y=114x+5y=\dfrac{1}{14}x+5y=141x+5. The second road has to…
- Find the slope of any line that is perpendicular to 4y−9x=−14y-9x=-14y−9x=−1.
- Suppose you rolled a ball alone the line 4x+y=24x+y=24x+y=2. Your friend rolled another ball, and your friend wants her ball to hit a cone at (6,3)(6,3)(6,3) and intersect with …
- Find the product of the slope of two perpendicular lines.
- Suppose you are building a bookshelf and you want 222 pieces of wood to intersect at a 90∘90^{\circ}90∘ angle. The first piece of wood can be expressed as y=x+6y=x+6y=x+6. The s…
- State whether these 222 lines are perpendicular. 4x+y=−10 and 8y=2x+54x+y=-10 \text{ and } 8y=2x+54x+y=−10 and 8y=2x+5