Slope-intercept form can represent under the form of y=mx+b where m represent the slope and by represent y-intercept. In this case, we already know that slope which is -6, so we need to know what is b by substitute (1,-4) in an equation that shown above where x=1 and y=-4 y=-6x+b -4=-6(1)+b -4=-6+b Add 6 to each side -4+6=-6+b+6 b=2. As a result, the slope intercept form for this problem is y=-6x+2. Hope it help!