Question 34291
Your given line is y=x-2
It is in the form y=mx+b where "m" is the slope.
So the slope of your given line is m=1.
The line parallel to your given line will have the same slope, i.e. m=1.
The line you want will have the form y=mx+b
You are told that y=-7 when x=2.
You need to find "b".
So substitute to get:
-7=(1)(2)+b
b=-9
The equation of the line you want is y=x-9
This line has a slope of "1" and passes through the point (2,-7).
Cheers,
Stan H.