Graph the proportional relationship y=-2x by plotting points.
To graph the proportional relationship y = -2x, we need to plot several points that satisfy this equation.
We can choose any value for x and use the equation to find the corresponding y-value. Let's choose three points:
When x = 0:
y = -2(0) = 0
So our first point is (0, 0).
When x = 1:
y = -2(1) = -2
So our second point is (1, -2).
When x = -1:
y = -2(-1) = 2
So our third point is (-1, 2).
Now we can plot these three points on a graph:
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The points are (0, 0), (1, -2), and (-1, 2). Joining these points will give us a straight line.
To graph the proportional relationship y = -2x, you can plot several points that satisfy this equation on a coordinate plane.
Here's how you can do it:
Step 1: Choose some values for x. For simplicity, let's start with x = -3, -2, -1, 0, 1, 2, and 3. These are just examples; you can choose different values if you prefer.
Step 2: Substitute each value of x into the equation y = -2x to find the corresponding value of y. For example, when x = -3, y = -2(-3) = 6. Similarly, when x = 0, y = -2(0) = 0.
Step 3: Take each pair of x and y values and plot them as points on the coordinate plane. For example, when x = -3, y = 6, so plot the point (-3, 6). Repeat this process for all the chosen values of x.
Step 4: Once you have plotted all the points, connect them with a straight line. Since the relationship is proportional, the graph should be a straight line passing through the origin (0, 0).
The graph of the proportional relationship y = -2x should look like a straight line with a negative slope. As x increases, y decreases, and as x decreases, y increases.
To graph the proportional relationship y = -2x, you can plot some points that satisfy this equation. A proportional relationship means that as x increases or decreases, y will also increase or decrease by a constant factor.
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 = -1, y = -2(-1) = 2. So the third point is (-1, 2).
Now, you can plot these points on a graph:
- The first point (0, 0) is located at the origin (where the x-axis and y-axis intersect).
- The second point (1, -2) is one unit to the right and two units below the origin.
- The third point (-1, 2) is one unit to the left and two units above the origin.
Next, draw a straight line passing through these three points. Since it's a proportional relationship, the line will be straight.
The graph of the proportional relationship y = -2x should look like this:
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Note that the line will continue indefinitely in both directions, but I've drawn a limited portion for clarity.
I hope this helps! Let me know if you have any further questions.