algebra 1 high school I am stuck on this one

[djh]

I am doing homework, I need to know what the slope of a line that is parrallel and perpndicular to each line?

problem
2x+6y=6

 

[Mrspi]

I am doing homework, I need to know what the slope of a line that is parrallel and perpndicular to each line?

problem
2x+6y=6

Take the given equation,
and put it in "slope-intercept" form,
y = mx + b

2x + 6y = 6
6y = -2x + 6
y = (-1/3)x + 1

This line has a slope of -1/3.

Parallel lines have the same slope, so any line parallel to the given line will also have a slope of -1/3.

Perpendicular lines have slopes that are opposite reciprocals, so any line perpendicular to the given line will have a slope of 3/1, or just 3.

I hope this helps you.

 

[Gene]

2x+6y=6
Solve for y
6y=-2x+6
y=(-2/6)x+1
The slope is -2/6 = -1/3
y=(-1/3)x+c is parallel for any c because it has the same slope.
The perpendicular slope is -1/(-1/3) = 3 so
y=3x+d is perpendicular for any d

 

[djh]

Thank You so much, I had them backwards duh!!!
:roll: :shock: