Find five points that satisfy the equation y=18x graph these points and the equation to verify that your points are on the graph
pick any five values for x. Multiply each by 18. Plot those points.
Can you see what a useless exercise it is for you to ask us to plot a graph and verify it?
Sheesh.
To find five points that satisfy the equation y = 18x, we can arbitrarily choose different values for x and calculate the corresponding y-values. Let's choose x = -2, -1, 0, 1, and 2.
For x = -2:
y = 18 * (-2) = -36
So, the first point is (-2, -36).
For x = -1:
y = 18 * (-1) = -18
The second point is (-1, -18).
For x = 0:
y = 18 * 0 = 0
The third point is (0, 0).
For x = 1:
y = 18 * 1 = 18
The fourth point is (1, 18).
For x = 2:
y = 18 * 2 = 36
The fifth point is (2, 36).
Now, let's graph these points and the equation y = 18x to verify that the points are on the graph.
Here is the graph:
^
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36 | .
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18 | .
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+----------------------------------->
-2 -1 0 1 2
x
As you can see, all five points (-2, -36), (-1, -18), (0, 0), (1, 18), and (2, 36) lie on the graph of the equation y = 18x.
To find five points that satisfy the equation y = 18x, we can substitute different values for x and solve for y. Here's how:
1. Choose a value for x. Let's start with x = 0.
Plugging x = 0 into the equation, we have: y = 18(0) = 0
So, the first point is (0, 0).
2. Choose another value for x. Let's take x = 1.
Substituting x = 1 into the equation, we get: y = 18(1) = 18
The second point is (1, 18).
3. Select another value for x. Let's say x = -1.
By substituting x = -1 into the equation, we obtain: y = 18(-1) = -18
The third point is (-1, -18).
4. Pick another value for x. Let's choose x = 2.
Substituting x = 2 into the equation, we have: y = 18(2) = 36
The fourth point is (2, 36).
5. Select one more value for x. Let's take x = -2.
Plugging x = -2 into the equation, we get: y = 18(-2) = -36
The fifth point is (-2, -36).
Now that we have our five points, we can plot them along with the equation y = 18x to verify that the points lie on the graph. Here's the graph:
- Plot the points (0, 0), (1, 18), (-1, -18), (2, 36), and (-2, -36) on a coordinate plane.
- Draw a straight line passing through these points.
By comparing the graph of the equation y = 18x with the plotted points, you can visually verify that these five points lie on the graph.