Write the slope intercept form of the equation of the line through the given point with the given slope through(-3,2), slope = -1

So basycilly slope intercept form is y=mx+b where m=slope and b=y intercept
slope=-1
subsiute
y=-1x+b
y=-x+b
so we are given the point (-3,2)
x=-3 and y=2 is one solution
subsitue and solve for b
2=-(-3)+b
2=3+b
subtract 3 from both sides
-1=b

the slopt inercetp form is y=-x-1

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