Question
Graph the equation ![Y equals 2 x plus 4](data:image/png;base64,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)
Hint:
To plot the graph of an equation, first we make a table of points satisfying that equation. Then we draw an x-axis and y-axis on the graph. After that we scale both the axis according the values we get in the table. Lastly, we plot the points from the table on the graph and join them to get the required curve.
The correct answer is: After plotting the points, we join them with a line to get the graph of the equation.
Step by step solution:
The given equation is
y = 2x + 4
First we make a table of points satisfying the equation.
Putting x = 0 in the above equation, we will get y = 4
Similarly, putting x = 1, in the above equation, we get y = 6
Continuing this way, we have
For x = -1, we get y = 2
For x = 2, we get y = 8
For x = -2, we get y = 0
Making a table of all these points, we have
![](data:image/png;base64,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)
Now we plot these points on the graph.
![](data:image/png;base64,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)
After plotting the points, we join them with a line to get the graph of the equation.
First we make a table of points satisfying the equation.
Putting x = 0 in the above equation, we will get y = 4
Similarly, putting x = 1, in the above equation, we get y = 6
Continuing this way, we have
Making a table of all these points, we have
Now we plot these points on the graph.
After plotting the points, we join them with a line to get the graph of the equation.
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph