Maths-
General
Easy
Question
Are graphs of the equations parallel, perpendicular or neither?
![negative 2 x plus 5 y equals negative 4 semicolon space y equals negative 5 over 2 x plus 6](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: Both are nor parallel neither perpendicular.
- 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
![negative 2 x plus 5 y equals negative 4](data:image/png;base64,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)
![y equals fraction numerator negative 5 over denominator 2 end fraction x plus 6](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF8AAAAjCAYAAADyrNZPAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAkBJREFUeNrtm0FEBFEYx0eSZEWSpEMkSZJIspIuSZIkkiRJdOiU7umQSIdOXZIOSWIlSbqkQ5JEknRIdOzaYSVJ1P/T/zCN2bUyb2b29f35sfP2Wc9/3vve972ZdZz801cWVCGYr1Lz1XyVmv9/zP8AaXAM5kBCbQk+e8mWxRSCVjAPHkCDWhmNesCZ2hCd3tWCaNQEntQG89oHSVBAemn8kFpjXsPgEXyCF5ACbTEebxvHmGZoPARdehvNa5pm1/O6FIyBc7XGbJHXCK5z6bgJRnzaZ8GSRcZNgWWf9kV+F6T562A0l44TYMXTVsLYWh5gYRQH3YBK1/UkWDMw86Xwq8qlYx83BbcWWD3aJsmOVvm5G5waCjvvjPWSnb3xSOSaMf+XZHbfu64rmL4VR3ScEBSZdMKM4zbDyg5ilX9xlfXxKETS4g5Gkxlv5zfX51XG+6AHFBfNciY2G9xwJbWs9mlvAc/eRkl/askT75SNktm3xwk2atD84ywefngbtsAA2AHjlhpfy7xbkokEY3C5IfNnMmSQcvp65bcUJeW8s9T4Cs5Gt9n9YNuQ+UXOz0nrFGO+qJ3+dns7D/KHByw0vohZh18M3mUGZOqGb4BXHofIzej06yimX8YwNqcZI2/90jRbJEsyGaPxnHFDTLjK9Ys/bpKxlpyHH+XBOGss3pPyQvrEKiIlGXpUIauY+XGHWhGuysCB8/OWgirkqlSMr1MrwlUDi5QStSJcyQOPlKs0V4WoI0dfAYxM1v8D5RufsbegwptyJwAAALJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtbj41PC9tbj48L21yb3c+PG1uPjI8L21uPjwvbWZyYWM+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+NjwvbW4+PC9tYXRoPpbuzosAAAAASUVORK5CYII=)
Slope of both lines are
respectively
Since slope are not equal then both are not parallel.
Product of both slope is ![2 over 5 cross times fraction numerator negative 5 over denominator 2 end fraction equals negative 1](data:image/png;base64,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)
So, both are not perpendicular also.
So,
Both are nor parallel neither perpendicular.
Slope of both lines are
Since slope are not equal then both are not parallel.
Product of both slope is
So, both are not perpendicular also.
So,
Both are nor parallel neither perpendicular.
Related Questions to study
Maths-
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Casey opened a saving account with a
50 deposit. For every month after the first month she deposits
25. Write an explicit rule to represent the amount of money being deposited in her account. How much money will Casey have in her account after 24 months?
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x equals 4 semicolon space y equals 4](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x equals 4 semicolon space y equals 4](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 half semicolon space y equals negative 3](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 1 half semicolon space y equals negative 3](data:image/png;base64,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)
Maths-General
Maths-
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
What is the horizontal asymptote of the rational function
![straight F left parenthesis straight x right parenthesis equals fraction numerator a x squared plus b x plus c over denominator d x squared plus e x plus f end fraction](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Are graphs of the equations parallel, perpendicular or neither?
y = 2x + 1; 2x - y = 3
Maths-General
Maths-
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
A Trainer mixed water with an electrolyte solution. Container is having 12 gal of 25% electrolyte solution. The Concentration of electrolytes can be modelled by
, Graph the function.
Maths-General
Maths-
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Find the 12th term. -8, -5.5 , -3, -0.5, 2.0,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](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 4 comma 3 right parenthesis semicolon space 4 x minus 5 y equals 30](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
Write recursive formula. -5,-8.5,-12,-15.5,-19,....
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 5 right parenthesis semicolon space x equals 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAAARCAYAAADJ0RJfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAjpJREFUeNrtmM9HBGEcxkcyki5Z2UOHWB2SZEmHtZLIWumQ6LA6JJEkWd07dUmH1aFbxw6RJEkiSZJEknRIpP+gwx6y1lLPy7NM07u777w78+4PPXzYmZ155533+b7f7zuvZf3WMti0Gkeb7HPTaRDcNWC/b9n3ppJ4qajPbcbBIciCPHgCs4r3fpfBqSFw0wDjOwbOwBfIgTewDULuC6M0w29dgxTo4HE/n5NSNENVNzSlnnUFpoHtGvdz94VbYMVQp3rAs89mrDZYrXMq6z4h3Bkx2IGcz2bEwKVGPxZKmLjB/4JWBLzK3LENGRFTTIlezLBdEbbP+6cU7n0EYcfxPNjRrGXfiv0O8zmibky4/ywYMqIN3LOwq5iR5yCLwrfmqD0y5TXNSIIMf49rzjBVuU1Lyy4qeGxEJxo6wTFIeHyBVhbndU7pPgUzvOoCjHK1FzIQlJ0MlHs+12iaitCI3irbSXCFVilNeVWaZg5qRLdOYBbVQUP+REY8ICNEJO+C9gCLf6yK9FL8FsooLrkDX8wEtbQVheqAqcYPDYB3yfkVvoPOjD1hoIgofTCUppy7Hm+mPvpOy+R4q0LBPWLEt5AkjZhW+OhTKeBdXBg4B38S7AU08CK9zjAwW/hF/gHmZBffBbDHo5pXZYM3w6gRi4tPzrBhyTNk2yGVzLBpdneJwEgGYMYIgzNHrmh+ySlTy43CfdmaW0GlNgp126sbLdVoW0GkyReN2iLqxKKP7f2L6SJcx+0Z0Q9gWaLbdU442QAAALl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+KDwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MjwvbW4+PG1vPiw8L21vPjxtbj41PC9tbj48bW8+KTwvbW8+PG1vPjs8L21vPjxtbz4mI3hBMDs8L21vPjxtaT54PC9taT48bW8+PTwvbW8+PG1uPjM8L21uPjwvbWF0aD5kQpOqAAAAAElFTkSuQmCC)
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis negative 2 comma 5 right parenthesis semicolon space x equals 3](data:image/png;base64,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)
Maths-General
Maths-
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Find the vertical and horizontal asymptotes of rational function, then graph the function.
![straight F left parenthesis straight x right parenthesis equals fraction numerator x minus 1 over denominator 2 x plus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula. 2,6,10,14,18,....
Write recursive formula. 2,6,10,14,18,....
Maths-General
Maths-
Write an equation of a line that passes through the given line and is perpendicular to the given line.
![left parenthesis 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 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 0 comma 3 right parenthesis semicolon space 3 x minus 4 y equals negative 8](data:image/png;base64,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)
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. -6,5,16,27,38,....
Tell whether the given sequence is an arithmetic sequence. -6,5,16,27,38,....
Maths-General
Maths-
Tell whether the given sequence is an arithmetic sequence. 48,45,42,39,....
Tell whether the given sequence is an arithmetic sequence. 48,45,42,39,....
Maths-General