how do I graph the equation 2x+y=0?
Well for you have to put in in y=mx+b form.
So it would be y=2x.
That means that your y intercept is zero. So then you would plot your first dot at 0,0. And then from there go up two and over one.
or rather y=-2x
To graph the equation 2x + y = 0, you can follow these steps:
Step 1: Rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
2x + y = 0
y = -2x + 0
y = -2x
Step 2: Identify the slope (m) and y-intercept (b) from the equation.
The slope (m) is -2, which means for every unit increase in x, y decreases by 2.
The y-intercept (b) is 0, which is the point where the line crosses the y-axis.
Step 3: Plot the y-intercept on the graph.
Since the y-intercept is 0, it means that the line crosses the y-axis at the origin (0,0).
Step 4: Use the slope to find additional points to plot.
Start from the y-intercept (0,0) and use the slope (-2) to find the next point. Since the slope is negative, move two units to the right and one unit down to find the next point. This would be (2,-4).
Step 5: Connect the points to create a straight line.
Once you have plotted the y-intercept and at least one more point, use a ruler or straight edge to connect the points. The line you draw will be the graph of the equation 2x + y = 0.
Note: If you want, you can continue finding more points using the slope (-2) by moving two units to the right and one unit down from the previously plotted point. This will give you more points to ensure the line is accurate.