Did you know?
Did you know that in order to determine if a given ordered pair is a solution of an equation, you need to substitute the values of x and y into the equation and see if they make it true? For example, in the equation 3x + 5 = y, the ordered pair (1,8) will be a solution if substituting x=1 and y=8 into the equation makes it a true statement. Likewise, in the equation y=-2(x+3), the ordered pair (-6,0) will be a solution if substituting x=-6 and y=0 into the equation makes it true. Lastly, in the equation y= (x - 1.2)(-3), the ordered pair (0, 1.2) will be a solution if substituting x=0 and y=1.2 into the equation makes it true.
To describe the pattern in the table, you can observe the relationship between the x-values and the corresponding y-values. You can also write an equation that represents the pattern, such as y = mx + b, where m represents the rate of change and b represents the y-intercept. For a visual representation, you can create a graph with the x-values on the x-axis and the y-values on the y-axis. This will allow you to see the pattern more clearly.
To extend the pattern for x=5, 6, and 7, you can use the equation or the graph to find the corresponding y-values. By substituting these x-values into the equation or locating them on the graph, you can determine the y-values and continue the pattern. This will help you understand how the relationship between x and y progresses beyond the given table. Remember to always show your work and calculations when determining solutions and extending patterns.
