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

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

Answer by actuary(112) (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.

The lines differ because of different y-intercepts.
I hope that this helps.

RELATED QUESTIONS
x+4=y y-x=-3 determine whether the graphs of the equations are perpendicular... (answered by Alan3354)
Determine whether the graphs of the equations are parallel lines 3x-4=y... (answered by checkley71)
Determine whether the graphs of the equations are perpendicular lines. x=-3... (answered by ewatrrr)
Determine whether the graphs of the equations are perpendicular lines. {{{y=-4x + 3}}}... (answered by josgarithmetic)
decide whether the graphs of the two equations are parallel lines:... (answered by stanbon)
determine whether the graphs of the pairs of lines are parallel x+8=y y-x=... (answered by ikleyn,fractalier)
Determine whether the graphs of the two lines are parallel. y+3=9x 6x-y=-3 Are the... (answered by Leaf W.)
Determine whether the graphs of the two lines are parallel y+3=6x... (answered by richwmiller)
Determine whether the graphs of the pair of parallel lines are parallel x + 8 = y y-x (answered by Gogonati)