Question 164684: HELLO! could I please have help wit hmy math homework? The diections say decide whether the graphs of the two equations are parallel lines.
the question is : y=x+3 , y=x+6
THANK! for all the help you give! this helps ALOT!
Found 2 solutions by Mathtut, Fombitz:
Answer by Mathtut(3670)   (Show Source):
You can put this solution on YOUR website! lines that are parallel have equal slopes so first make sure the equation is written in y=mx+b format which they are. Since we know that in the format y=mx+b that the slope is equal to m. In the given equations the slope of each is one therefore they are parallel lines.
Answer by Fombitz(32388)  (Show Source):
You can put this solution on YOUR website! Each line is in slope-intercept form,  , where m is the slope and b is the intercept.
y=x+3, the slope is 1, y-intercept is 3.
y=x+6, the slope is 1, y-intercept is 6.
Parallel lines have identical slopes.
Since both lines have slope of 1, they are parallel.
You can plot them just to verify.
First plot the intercepts: (0,3) and (0,6).
Since the slope equals 1, points on the line have equals steps in x and y.
Starting from (0,3), I can find another point on the line by adding the same amount to each. Let's add 2. (0,3)+(2,2)=(2,5).
The same goes for the other coordinate (0,6):(0,6)+(2,2)=(2,8).
Plot those points too.
Then conncect the points.
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