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!
