Question 359493: Determine whether the graphs of the pair of lines are parallel.
x + 9 = y
y-x= -5
For the first x +9 = y I subtract 9 from both sides (I think) to leave me with x= y - 9
So would the slope of the line be -9?
For y -x = -5 I will add the x to each side to give me y = x - 5
Would the slope of this line be -5?
Thank you for your help
Answer by neatmath(302)   (Show Source):
You can put this solution on YOUR website! To find the slope of the lines, just solve for y and get them in the form  where m is the slope of the line, and b is the y-intercept.
For the first line, if we solve for y we get  as given
The slope of this line is 1, and the y-intercept is 9
For the second line, if we solve for y we get 
The slope of this line is also 1, and the y-intercept is 5
When 2 lines have the same slope, but have different y-intercepts, they are by definition, parallel lines!
The two lines have the same slope, but different y-intercepts, thus they are parallel!
I hope this helps!
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