how do u graph equations?? it says use the ggraphing method but i don't know how to graph them
pick a bunch of values of x or independent variable and calculate corresponding values of y (dependent variable). Make a table and use those x,y points on your graph.
so i pick a bunch of numbers and see which ones work??
You pick some values of x.
Then you get values of y for each of those x values
oh okay
Graphing equations is a fundamental skill in mathematics that allows you to visually represent the relationship between variables. There are a few steps you can follow to graph an equation using the plotting or graphing method:
1. Choose the equation: Identify the equation you want to graph. It should be in the form of y = f(x), where f(x) represents a mathematical expression involving variables like x and coefficients.
2. Select a range for the independent variable: Decide on a range of values for the independent variable (usually x-axis) that you want to use to construct the graph. For example, if you choose x values from -10 to 10, the resulting graph will include a portion of the equation's curve within that range.
3. Calculate corresponding y values: Plug each x value from the chosen range into the equation to calculate the corresponding y values. For instance, if your equation is y = 2x + 3, and the x values you chose were -2, 0, and 2, then you would substitute these values successively into the equation to find their corresponding y values.
4. Plot the points: Once you have obtained the corresponding y values, plot each (x, y) pair on a coordinate plane. The x value determines the position on the x-axis, while the y value determines the position on the y-axis. Repeat this for all the points obtained in the previous step.
5. Connect the points: Connect the plotted points smoothly with a line or curve. If the equation is linear, the graph will be a straight line. If the equation is quadratic or higher order, the graph will display a curve. If the equation is a simple constant, like y = 3, the graph will be a straight line parallel to the x-axis.
6. Label the axes: Add labels for the x-axis and y-axis. For example, if your equation involves time and distance, you might label the x-axis as "time" and the y-axis as "distance." This step helps to provide clarity and context to your graph.
Remember to refer to any specific instructions or guidelines provided with your course material or assignment when graphing equations, as there might be additional requirements or details to consider. Additionally, utilizing graphing calculators or online graphing tools can be helpful in visualizing equations, especially those involving more complex curves or functions.