Graph the line. \[ x-y=4 \]

To graph the line given by the equation \( x - y = 4 \), it's helpful to rewrite it in slope-intercept form, \( y = mx + b \). Rearranging gives us \( y = x - 4 \). This tells us that the line has a slope of 1 and a y-intercept at (0, -4). You can plot this point and then use the slope to find another point—go up 1 unit and right 1 unit from the y-intercept to reach (1, -3). Connecting these points will give you the line you’re looking for! For those looking to really ensure precision, using intercepts can be a game-changer! First, set \( x = 0 \) to find the y-intercept \( (0, -4) \). Next, set \( y = 0 \) to find the x-intercept: \( x - 0 = 4 \), which simplifies to \( (4, 0) \). Plotting these two points and drawing a straight line through them will yield a perfectly accurate representation of the line defined by your equation!