Graph the equation x-y=3 Solution x-y=3 convert to the form y=mx+b thus, x-y=3 b

Question

Graph the equation x-y=3

Explanation / Answer

x-y=3 convert to the form y=mx+b thus, x-y=3 becomes x - y = 3 -x -x ____________________ -y = 3 - x then to convert further: -y = 3 - x __________________ => y = x - 3 -1 thus, you must graph the equation y = x - 3. From the generic y=mx+b formation of graphing a line, we know that m is the slope and b is the y-intercept. Therefore, in the equation y = x - 3, the slope is 1 and the y-intercept is -3. In other words, the graph of x-y=3 is a straight line with a slope of 1 and a y-intercept at (0, -3). Other points on the graph include (4, 1) and (1, -2). You can therefore graph a line with the following points for intercepts at their respective x and y coordinates: x | y ________|________ 0 | -3 1 | -2 2 | -1 3 | 0 4 | 1 5 | 2 6 | 3

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