parallel and perpendicular lines

[Melvajean]

y=3-x
2y-x=8 is this a parallel or perpendicular line or neither

 

[JeffM]

y=3-x
2y-x=8 is this a parallel or perpendicular line or neither

First, put the second equation into standard form y = what?

Second, if two lines are parallel, their slopes are in what relationship to each other? (This should be in your text or notes, but let us know if it is not.)

Third, if two lines are perpendicular, their slopes are in what relationship to each other?

 

[fcabanski]

Manipulate the second equation to be in slope intercept form. Standard form is Ax + By = c. It doesn't show the slope. The slope, given the standard equation, is -A/B.

 

[pka]

y=3-x
2y-x=8 is this a parallel or perpendicular line or neither

\(\displaystyle y=3-x\\2y-x=8\)

Turns into

\(\displaystyle y=-x+3\\y=\frac{1}{2}x+4\)

Do those two lines have the same slope( parallel)?

Do those two lines have slopes that multiply to -1( perpendicular )?