The equation is y = (-3/4)x - 6, so the slope is -3/4 and the y-intercept is at (0,-6). To graph it correctly:
1) Place a point at the y-intercept, (0,-6)
2) From the y-intercept, go down 3 units, then to the right 4 units and place another point
(the location will be (4,-9))
3) Use a straight edge to draw a line through the two points.
You did not post the graphic of the incorrectly drawn graph; but you can compare it to the 3 steps above and to your correctly drawn graph and figure out what is wrong.