Slope-intercept form is, in my opinion, the best form for an equation to be in when you want to graph it.
Your y-intercept is the point at which your line crosses the y-axis. In this case, it is 22/7, or just over 3. Remember that all along the y-axis, x is equal to 0. The coordinate of your intercept is (0, 22/7), for example. So, to find your y intercept, set x = 0. You'll be left with y = 22/7. This is WHY the slope-intercept is b in y = mx + b. When x = 0 (on the y -axis), y = b
When the equation is in slope-intercept form, it's easiest to just say the intercept is b in y = mx + b.
We found the y intercept by setting x = 0. Can you find the x intercept? The process is very similar.
For your slope, remember that slope represents RISE / RUN. A slope of -6/7 means RISE -6, or go down six lines, run +7, or go to the right 7 lines. From your y-intercept, drop down 6, right 7, and make another dot. Connect those two dots and you have your line.
Check your calculated x-intercept with the one you just graphed.