Frank deposits 200 in an account that earns simple interest at an annual rate of 5% The amount in the account, y (in dollars), after x years is given by the following equation. y=10x+200 Complete the parts below. (a) Graph the line y=10x+200

To graph the line $y=10x+200$, we can start by plotting the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is 200, so we can plot the point (0, 200) on the graph.<br /><br />Next, we can use the slope of the line to determine the direction of the line. The slope is the coefficient of x in the equation, which is 10 in this case. This means that for every 1 unit increase in x, the value of y increases by 10 units.<br /><br />Using this information, we can plot additional points on the graph by starting at the y-intercept and moving 1 unit to the right and 10 units up. For example, if we move 1 unit to the right from the y-intercept, we will land on the point (1, 210). Similarly, if we move 2 units to the right, we will land on the point (2, 220), and so on.<br /><br />Once we have plotted several points, we can connect them with a straight line to complete the graph of the line $y=10x+200$.<br /><br />The graph of the line $y=10x+200$ will be a straight line that passes through the points (0, 200), (1, 210), (2, 220), and so on. The line will have a positive slope of 10, indicating that the value of y increases by 10 units for every 1 unit increase in x.