Question 1002199
Given Line:  y=-x-5
That is equivalent to y = -1x-5
The equation is in the form y = mx+b where the slope is m = -1


ANY line parallel to this given line will also have a slope of -1. Since parallel lines have equal slopes.


The given point is P(-3,6). All points are of the form (x,y) so x = -3 and y = 6


We will plug m = -1, x = -3 and y = 6 into y = mx+b and solve for b

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y = mx+b
y = -1x+b  ...  replace m with -1
y = -1(-3)+b ... plug in x = -3
6 = -1(-3)+b ... replace y with 6, solve for b
6 = 3+b
6-3 = 3+b-3 ... subtract 3 from both sides to isolate b
3 = b
b = 3


So we know m = -1 and b = 3 turning y = mx+b into <font color = red>y = -x+3</font> which is the final answer