Graph the proportional relationship y = 2x by plotting points
Here are some points you can plot on a graph to represent the proportional relationship y = 2x:
x | y
--|--
0 | 0
1 | 2
2 | 4
3 | 6
4 | 8
You can plot these points on a graph with x as the horizontal axis and y as the vertical axis. Each point represents a pair of x and y values that satisfy the equation y = 2x. The points should fall along a straight line that passes through the origin (0,0) and has a slope of 2 (meaning that the y value increases by 2 for every 1-unit increase in x).
To graph the proportional relationship y = 2x by plotting points, we need to choose some values for x and then calculate the corresponding values for y.
Let's choose some values for x and calculate the corresponding values for y:
When x = 0, y = 2(0) = 0. So the first point is (0, 0).
When x = 1, y = 2(1) = 2. So the second point is (1, 2).
When x = 2, y = 2(2) = 4. So the third point is (2, 4).
When x = -1, y = 2(-1) = -2. So the fourth point is (-1, -2).
When x = -2, y = 2(-2) = -4. So the fifth point is (-2, -4).
Now that we have our five points, we can plot them on a graph. On the x-axis, mark the values of x (-2, -1, 0, 1, 2), and on the y-axis, mark the values of y (-4, -2, 0, 2, 4). Then, plot the five points we calculated: (0, 0), (1, 2), (2, 4), (-1, -2), (-2, -4).
Now, connect the points with a straight line. Since we have a proportional relationship, the line will pass through the origin (0, 0) and the points will lie on a straight line. This line represents the graph of the proportional relationship y = 2x.
To graph the proportional relationship y = 2x, we need to plot some points on a coordinate plane.
Let's choose some values for x and find the corresponding values of y using the equation y = 2x:
When x = 0, y = 2(0) = 0
When x = 1, y = 2(1) = 2
When x = 2, y = 2(2) = 4
When x = 3, y = 2(3) = 6
Now, we can plot these points on a coordinate plane:
(x, y) = (0, 0), (1, 2), (2, 4), (3, 6)
Next, we can connect these points with a straight line since they form a proportional relationship. The resulting graph will be a straight line that passes through the origin (0, 0) and each of these points.
Here is the graph of the proportional relationship y = 2x:
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6 +-------------+
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5 | |
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4 | |
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3 | |
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2 +-------------+
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1 | |
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0----+------+------+------+------+---->
0 1 2 3 4