how do you find the ordered pairs for a graph for example y=2x
To find the ordered pairs for a graph, such as y = 2x, you can start by choosing values for x and using the given equation to calculate the corresponding values for y. Let's go through the process step by step:
1. Start by choosing a set of values for x. Let's say we choose x = -2, -1, 0, 1, and 2. These values will help us determine the corresponding values for y.
2. Substitute each chosen value of x back into the equation y = 2x. For example, when x = -2:
y = 2 * (-2)
= -4
Similarly, when x = -1:
y = 2 * (-1)
= -2
When x = 0:
y = 2 * 0
= 0
When x = 1:
y = 2 * 1
= 2
When x = 2:
y = 2 * 2
= 4
3. Now, you have the corresponding values for y. The ordered pairs for this equation are: (-2, -4), (-1, -2), (0, 0), (1, 2), and (2, 4).
4. Plot these ordered pairs on a graph, with the x-values on the horizontal axis (x-axis) and the y-values on the vertical axis (y-axis). Connect the plotted points to draw a straight line. In this case, you will notice that the points fall on a straight line passing through the origin (0, 0) with a slope of 2.
Remember, by substituting different values for x into the equation y = 2x, you can find an infinite number of ordered pairs that lie on the graph of the equation.