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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?
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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.
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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?
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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?.
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