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Answer:
Step-by-step explanation:
Since the new line is parallel to the one that has a slope of 1, we can write:
y = 1x + b for the new line
Remember that y=mx+b, where m is the slope and b the y-intercept, the value of y when x=0.
We need to find a value of b that forces the line through point (1,-1). Use (1,-1) in the equation and solve for b:
y = 1x + b
-1 = 1*(1)+b
b = -2
The equation of the line parallel to one with slope of 1 and going through point (1,-1) is:
y = 1x - 2