Complete the table below and then plot the line y=-2x+7 for x=0 to 5. square square square square square square

For \(x = 0\), <br /><br />\[ y = -2*0 + 7 = 7 \]<br /><br />For \(x = 1\), <br /><br />\[ y = -2*(-1) + 7 = 5 \]<br /><br />For \(x = 2\), <br /><br />\[ y = -2*(2) + 7 = 3 \]<br /><br />For \(x = 3\), <br /><br />\[ y = -2*(3) + 7 = 1 \]<br /><br />For \(x = 4\), <br /><br />\[ y = -2*(4) + 7 = -1 \]<br /><br />For \(x = 5\), <br /><br />\[ y = -2*(5) + 7 = -3 \]<br /><br />And thus the table becomes:<br /><br />\begin{array}{lcccccc}<br\ />\hline<br\ />x\ \ \ &\ 0\ &\ 1\ &\ 2\ &\ 3\ &\ 4\ &\ 5\ \ \\<br\ />\hline<br\ />y\ \ \ &\ 7\ &\ 5\ &\ 3\ &\ 1\ &\ -1\ &\ -3\ \\<br\ />\hline<br\ />\end{array}<br /><br />Then, use these pairs of x and y coordinates to graph the line \(y = -2x + 7\) in a Cartesian coordiante system. The x and y values are from 0 to 7 so the range for the plot axes could, for instance, be {-5, 10} in range and all number pairs from the table will be included as points. And the graph increases for a unit with the increment of x-axis for every step. <br /><br />So, it's equivalent to say the y-values for x = 0 to 5 are: 7, 5, 3, 1, -1 and -3, respectively.