SOLUTION: the question says determine whether the graphs of the equations are parallel lines 1.x+4=y y-x=-3 dANiELLE*

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Question 175146This question is from textbook algebra 1
: the question says determine whether the graphs of the equations are parallel lines
1.x+4=y
y-x=-3
dANiELLE*
This question is from textbook algebra 1

Found 2 solutions by solver91311, actuary:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Solve both equations for y, in other words, perform whatever algebraic manipulations you need to have y on one side of the equal sign and everything else on the other side. Once you have done that, if the coefficient on the x in both equations is exactly the same, then the lines are parallel -- otherwise not.


Answer by actuary(112) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite both equations into slope intercept form.
1.x+4=y
y-x=-3
y=x+4 (line #1)
y=x-3 )line #2)
What is the slope of each line?
The slope of line 1 is 1
The slope of line 2 is 1.
Yes, the line are parallel.
Here is a graph of the two lines.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2B4%2Cx-3%29
The lines differ because of different y-intercepts.
I hope that this helps.