Graph each equation by point-plotting?
y=-x how would you do this?
To graph the equation y = -x by point-plotting, you need to identify multiple coordinates (x, y) that satisfy the equation. Here's how you can do it:
1. Start by choosing a range of values for x. Let's say you want to graph the equation for x values from -5 to 5.
2. Plug in each value of x into the equation and solve for y. For example, when x = -5, y = -(-5) = 5. When x = 0, y = -(0) = 0. When x = 5, y = -5.
3. Plot the coordinates you found on a graph. Use a coordinate plane with x and y axes. For each set of coordinates (x, y), plot a point where the x-coordinate corresponds to the value of x, and the y-coordinate corresponds to the value of y.
4. Connect the plotted points with a straight line. Since the equation is y = -x, the graph will be a straight line that passes through the origin (0, 0) and has a slope of -1 (for every positive increase in x, y decreases by 1).
5. Extend the line beyond the plotted points in both directions to represent the entire graph of y = -x.
By following these steps, you will be able to graph the equation y = -x using point-plotting.