Maths-
General
Easy
Question
Are graphs of the equations parallel, perpendicular or neither?
![3 y plus 2 x equals 9 semicolon space y equals negative 2 over 3 x minus 4](data:image/png;base64,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)
Hint:
- Parallel lines are graphed next to each other such that they never cross, while perpendicular lines cross to form 90-degree angle on a graph.
The correct answer is: slope are equal then both are parallel
- We have been given two equations in the question for which we have to tell are graphs of the equations parallel, perpendicular or neither.
Step 1 of 1:
We have given two equations
3y + 2x = 9
![y equals fraction numerator negative 2 over denominator 3 end fraction x minus 4](data:image/png;base64,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)
Slope of both lines are
respectively
Since slope are equal then both are parallel
Slope of both lines are
Since slope are equal then both are parallel
Related Questions to study
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 fourth x minus 8 semicolon space 2 x plus y equals 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKUAAAAjCAYAAAD1wsofAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAxhJREFUeNrtm1GEFVEcxsd1rWRfstbKPixrraxcsXpYK1myVtZay0qSJNJDsnpPD4kk9yG9JD0kuWStZK3IykoSSVaS6KmH3nrIynXF9B33u5mdnbF3pjkzZ+z342Nm7jgz/zPfnPM/58z1PDcYha5BHz0hHOExdBHyVRXCNWRKIVMKIVMKmVIImVLIlELIlEKmFEKmFCJgxrBcYz90F9qCmtALaDBFOZPQMvQLanntpdUze/xZu/rMnechdBOqQj3QLehdinI2oNNQL/fHoDc8pt5QJKIZ2q+wpcuCIWhzj5jAT9IKnIo4vsTWwUUusLUKc4O/Zc1WoHXrmPK7RdNnFaPvmAe6NuU56HZEDvUV6kuYF+SZH3yABgL756F7lq5l8skrgf0J6E7onAZjn09Y9gS7cBsx+o55oGtvnISeho5d99rfOLrMDFTn9glo3eK1auyuW8wLf0DHMjDlPuamk5Zi9B3zgM86NAO9NehqqAf6h3kTPgX2+6FvrLA8R19pWt6X0HGOYvsyuHZczvcEOshBjmGcdVT7j7o4AD2Dpnc5L48Y8/SAxwHjOE3/BToUddLvwHaduUTWgdtgiW9ezeI1VmLKn4JepSxzmIYcsRxjkmdRlAem2fvs4DUraphvSKUEI+LOnF/d8pRKM+VvcZhW4QFzNtsxJjFHkR6IrMdH0By7qbMlMKSpuOd8sCYned9F15aWzzEt2hhzyyQMMHer5hRjElMW5YHDfAkiuwgzLbBZAkP2M0kOPqBZr/1fHxss0JhTbD0q3DYVeSnhQGc1Ln+yFGMSU+bhgRXONnTqcYb1uBB18jwDmHPckD0MLGqJr8EgbbDI6ZkWu5qNCPN1Y8pucrCiYszDA4ucZvoD/WSvcTTuZHMjbws23KxX/mWoBqdXyogLHtjGGpvVouhlF1lmUx7htEq1pPdftAd2JJqrBd/Dfa+9dFZmUw5621dfyoQLHnAKM+2xniIxF8LawMWM9oZkSuEK5iuYyymnMITIHLNsFv46RqYUhWK+jhmRKYVLuPJRhxC7GlUImVIImVLE8heQPRdFdOwi5QAAAPB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PG1vPj08L21vPjxtZnJhYz48bW4+MTwvbW4+PG1uPjQ8L21uPjwvbWZyYWM+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjg8L21uPjxtbz47PC9tbz48bW8+JiN4QTA7PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bWk+eTwvbWk+PG1vPj08L21vPjxtbj41PC9tbj48L21hdGg+ee+TaAAAAABJRU5ErkJggg==)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 fourth x minus 8 semicolon space 2 x plus y equals 5](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 6 right parenthesis semicolon space y equals 0.5 x minus 3](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 6 right parenthesis semicolon space y equals 0.5 x minus 3](data:image/png;base64,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)
Maths-General
Maths-
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch
![straight F left parenthesis straight x right parenthesis equals fraction numerator x squared over denominator 2 x squared minus 2 end fraction](data:image/png;base64,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)
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch
![straight F left parenthesis straight x right parenthesis equals fraction numerator x squared over denominator 2 x squared minus 2 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 1 comma 7 right parenthesis semicolon space x minus 4 y equals 8](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 1 comma 7 right parenthesis semicolon space x minus 4 y equals 8](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis negative 3 comma negative 1 right parenthesis semicolon space x minus 2 y equals 5](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis negative 3 comma negative 1 right parenthesis semicolon space x minus 2 y equals 5](data:image/png;base64,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)
Maths-General
Maths-
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch the graph.
![F left parenthesis x right parenthesis equals fraction numerator 6 x squared over denominator 1 plus 3 x squared end fraction](data:image/png;base64,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)
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch the graph.
![F left parenthesis x right parenthesis equals fraction numerator 6 x squared over denominator 1 plus 3 x squared end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 1 right parenthesis semicolon space y equals negative 3 x plus 8](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 1 right parenthesis semicolon space y equals negative 3 x plus 8](data:image/png;base64,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)
Maths-General
Maths-
A line passing through (6, a) and (9, -4) is parallel to 2x - 3y = 6. What is the value of a?
A line passing through (6, a) and (9, -4) is parallel to 2x - 3y = 6. What is the value of a?
Maths-General
Maths-
Gabriela is selling friendship bracelets for a school fundraiser. After the first day, she has 234 bracelets left. After the second day, she has 222 bracelets left. Assuming the sales pattern continues and it is an arithmetic sequence, how many bracelets will Gabriela have to sell after the fifth day?
Gabriela is selling friendship bracelets for a school fundraiser. After the first day, she has 234 bracelets left. After the second day, she has 222 bracelets left. Assuming the sales pattern continues and it is an arithmetic sequence, how many bracelets will Gabriela have to sell after the fifth day?
Maths-General
Maths-
Use long division to rewrite each rational function, What are the asymptotes of f? Sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x over denominator x minus 2 end fraction](data:image/png;base64,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)
Use long division to rewrite each rational function, What are the asymptotes of f? Sketch the graph.
![straight F left parenthesis straight x right parenthesis equals fraction numerator 5 x over denominator x minus 2 end fraction](data:image/png;base64,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)
Maths-General
Maths-
In a trail map, the equation
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals negative 2 x plus 4](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAPCAYAAACLKbN4AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAZJJREFUeNpjYBh6wBqI1wDxJyD+BcQXgDh6ELrTB4j/MwxxcBCII4GYB8rXAuKjULHBAkBuuzYcAhsbkAfiSzQym5wAmwnEybj0zgXicCziBUDcOkQC/AcWMZCHO7CIN0PlaBHYoGJuLz698UDchSbGBcS3gFgYhwMIYXoCS2hRgg2cA2JxJH4iEE+hUcpmg+YweXx6vYB4FZpYPRDXDoEUzQHEJ6EpChvwAOI+KNsFKdXRIrBBuSiHkF5Q6r2CxBcF4rtQj9AKUCN3CALxBiB2I6BuNxDbQ1suwjRylx6W3IXTD9+Q2H3Q8pqWAUUpUIIGtAoRagugzUQ9GlaQJ7G4Bafew1APKEFTNdMgLjo0gHg2tF4htl3eR2bz8D+VcioKWAjEfkC8FIhjB3FAi0PrFxYiU/8maKSA2r5niChGqNH0I6i3ANoEvMQwuMEWaMomBED1zja0wAX16hYPhsAOgEr6DfLAJiargppg64BYGov+5dAWCr3cihWAAvk4wyigC9gG7RyMAhoDHWhZOApoCACk3X9QiZAxUwAAAIx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjQ8L21uPjwvbWF0aD68+E25AAAAAElFTkSuQmCC)
In a trail map, the equation
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals negative 2 x plus 4](data:image/png;base64,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)
Maths-General
Maths-
After the first raffle drawing 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues, write an explicit formula for arithmetic sequence to represent the number of raffle tickets that remain after each drawing. How many tickets remain in the bag after the seventh raffle drawing?
After the first raffle drawing 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues, write an explicit formula for arithmetic sequence to represent the number of raffle tickets that remain after each drawing. How many tickets remain in the bag after the seventh raffle drawing?
Maths-General
Maths-
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch the graph.
![F left parenthesis x right parenthesis equals fraction numerator 2 x over denominator x plus 4 end fraction](data:image/png;base64,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)
Use long division to rewrite each rational function, What are the asymptotes of f ? Sketch the graph.
![F left parenthesis x right parenthesis equals fraction numerator 2 x over denominator x plus 4 end fraction](data:image/png;base64,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)
Maths-General
Maths-
In a trail map, the equation y =
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals 1 half x plus 5](data:image/png;base64,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)
In a trail map, the equation y =
represents the Tamiami Trail. Choose the equation for a perpendicular trail.
![y equals 1 half x plus 5](data:image/png;base64,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)
Maths-General
Maths-
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Graph the sequence for the first 5 rows.
A city sets up 14 rows of chairs for an outdoor concert. Each row has 2 more rows than the row in front of it. Graph the sequence for the first 5 rows.
Maths-General