Questions: For the equation, find three ordered pairs completing the table. Then use any two of the ordered pairs to graph the equation. x-y=4 Complete the table below. x y 4 0 2 -2 0 -4

Solution Steps

Given the linear equation in the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept, we substitute the given $x$ values into the equation to find the corresponding $y$ values. For our equation, $m = 1$ and $b = -4$. The calculations for each $x$ value are as follows: For $x = 4$, $y = 1(4) - 4 = 0$. For $x = 2$, $y = 1(2) - 4 = -2$. For $x = 0$, $y = 1(0) - 4 = -4$.

This results in the following set of ordered pairs (x, y): (4, 0), (2, -2), (0, -4)

To graph the equation, plot each of the ordered pairs on a coordinate plane. Since the equation represents a straight line, only two points are strictly necessary to graph the line, but more points can be used to verify accuracy. The plotted points are: Point: (4, 0) Point: (2, -2) Point: (0, -4)

After plotting the points on the coordinate plane, connect them with a straight line. This line represents all the solutions to the equation, as any point on the line can be substituted back into the equation to yield a true statement. The line is the graphical representation of the equation $y = mx + b$.

Final Answer: