SOLUTION: I am truly lost...the directions read, write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of each equation. the

Question 34291This question is from textbook Algebra 1
: I am truly lost...the directions read, write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of each equation. the problem reads (2, -7), y=x-2 This question is from textbook Algebra 1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
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