UPSC Exam > UPSC Questions > Draw the graph of linear equations 5y=3x+18 o...
Start Learning for Free
Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not?
Most Upvoted Answer
Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. Fr...
Graph of Linear Equation 5y = 3x + 18
To graph the linear equation 5y = 3x + 18, we first need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, we have:
5y = 3x + 18
y = (3/5)x + 18/5
Now we can graph the equation by plotting the y-intercept at (0, 18/5) and using the slope to find a second point.
The slope of the line is 3/5, which means for every 5 units we move to the right, we move up 3 units.
Plotting these points and drawing a line through them, we get the graph of the linear equation 5y = 3x + 18.
Checking if (-2, 4) is a Solution
To check if the point (-2, 4) is a solution to the equation 5y = 3x + 18, we substitute x = -2 and y = 4 into the equation and see if both sides are equal.
Plugging in the values, we get:
5(4) = 3(-2) + 18
20 = -6 + 18
20 = 12
Since 20 is not equal to 12, the point (-2, 4) is not a solution to the equation 5y = 3x + 18.
Therefore, the point (-2, 4) does not lie on the graph of the linear equation 5y = 3x + 18.
To graph the linear equation 5y = 3x + 18, we first need to rewrite it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, we have:
5y = 3x + 18
y = (3/5)x + 18/5
Now we can graph the equation by plotting the y-intercept at (0, 18/5) and using the slope to find a second point.
The slope of the line is 3/5, which means for every 5 units we move to the right, we move up 3 units.
Plotting these points and drawing a line through them, we get the graph of the linear equation 5y = 3x + 18.
Checking if (-2, 4) is a Solution
To check if the point (-2, 4) is a solution to the equation 5y = 3x + 18, we substitute x = -2 and y = 4 into the equation and see if both sides are equal.
Plugging in the values, we get:
5(4) = 3(-2) + 18
20 = -6 + 18
20 = 12
Since 20 is not equal to 12, the point (-2, 4) is not a solution to the equation 5y = 3x + 18.
Therefore, the point (-2, 4) does not lie on the graph of the linear equation 5y = 3x + 18.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not?
Question Description
Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not?.
Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not?.
Solutions for Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? defined & explained in the simplest way possible. Besides giving the explanation of
Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not?, a detailed solution for Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? has been provided alongside types of Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? theory, EduRev gives you an
ample number of questions to practice Draw the graph of linear equations 5y=3x+18 on the Cartesian plane. From the graph check whether (-2,4) is the solution of linear equation or not? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup