how do i graph y=3x-6? Solution 1) First find the y-intercept. This is where the line hits the y axis. Because it is the y-intercept, you know that the x coordinate for this point will be 0. To find the y coordinate, plug 0 in for x... ( 3(0) + y = -6 ). You get the y = -6. So the coordinate for the y-intercept is ( 0, -6 ). 2) The x-intercept is where the line hits the x axis. Because it is the x-intercept, you know that the y coordinate is 0. To find the x coordinate, plug in 0 for the y... ( 3x + 0 = -6 ). Then divide by 3 to isolate the x...(3x/3 = -6/3). You get that x = -2. The coordinates of the x-intercept is ( -2, 0 ) 3) Now, our x-intercept is ( -2, 0) and the y-intercept is ( 0, -6 ). Graph the two points and draw a line to connect them. Tada! You\'re finished. In my opinion, this is a lot easier than graphing by slope-intercept (y=-3x-6). .