how would you graph an equation like y=-x on graph paper?
Insert various values of y to find x. Use their coordinates to connect the dots. They will go through (0, 0) and be in the second (upper left) and fourth (lower right) quadrant.
I hope this helps. Thanks for asking.
what do you mean by various values?
To graph the equation y = -x, follow these steps on graph paper:
Step 1: Draw the x-axis (horizontal axis) and the y-axis (vertical axis) that intersect at the origin (0,0).
Step 2: Determine a range of values for x and y that you want to plot. Let's say, for example, you choose x values from -5 to 5.
Step 3: Plot the points that represent the equation. For y = -x, you can choose any x-value within the range you selected and then find the corresponding y-value by substituting the x-value into the equation. For example, when x = 2, y = -(2) = -2. Plot the point (2, -2) on the graph paper.
Step 4: Repeat this process for other x-values. For x = 3, y = -(3) = -3. Plot the point (3, -3) on the graph paper. Similarly, for x = -2, y = -(-2) = 2. Plot the point (-2, 2).
Step 5: Plot enough points to get an idea of the overall shape of the line. Since the equation y = -x represents a straight line, two points are sufficient. However, if you want more accuracy, you can plot additional points.
Step 6: Connect the points with a straight line. Draw a straight line passing through all the plotted points. It should extend in both directions beyond the plotted points, representing the entire line.
Step 7: Label the x and y axes, as well as any points you plotted, to complete the graph.
By following these steps, you should be able to graph the equation y = -x on graph paper.