SOLUTION: 6. Are the following pairs of line parallel, perpendicular, or neither. L1 with equation x + 2y = 4 L2 with equation 2x + 4y =5

Question 121214: 6. Are the following pairs of line parallel, perpendicular, or neither.

L1 with equation x + 2y = 4
L2 with equation 2x + 4y =5

Found 2 solutions by jim_thompson5910, Earlsdon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First convert the standard equation into slope intercept form

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

Start with the given equation

Subtract 1x from both sides

Simplify

Divide both sides by 2 to isolate y

Break up the fraction on the right hand side

Reduce and simplify

The original equation (standard form) is equivalent to (slope-intercept form)

The equation is in the form where is the slope and is the y intercept.

Now convert the standard equation into slope intercept form

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

Start with the given equation

Subtract 2x from both sides

Simplify

Divide both sides by 4 to isolate y

Break up the fraction on the right hand side

Reduce and simplify

The original equation (standard form) is equivalent to (slope-intercept form)

The equation is in the form where is the slope and is the y intercept.

Since the two slopes are both , this means that the two slopes are equal. This also means that the two lines are parallel

-----------------
Answer:

So the lines and are parallel.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First find the slope of each of the two lines by rewriting the equatins in slope-intercept form: .
L1:
L2:
Now compare with:
and you can see that in both equations,
The slopes, m, are equal so the lines are parallel.
RELATED QUESTIONS
6. Are the following pairs of line parallel, perpendicular, or neither. L1 with... (answered by jim_thompson5910)
Are the following pairs of lines parallel, perpendicular, or neither? L1 with equation... (answered by scott8148)
Are the following lines parallel, perpendicular, or neither? L1 with equation x � 2y... (answered by checkley71)
Are the following lines parallel, perpendicular, or neither? L1 with equation x-2y=10 (answered by stanbon)
Are the following lines parallel, perpendicular, or neither? L1 with equation x � 2y... (answered by checkley75,bucky)
Are the following lines parallel, perpendicular, or neither? L1 with equation x � 2y... (answered by Fombitz,stanbon)
Are the following lines parallel, perpendicular, or neither? L1 with equation x � 2y... (answered by HyperBrain)
Are the following lines parallel, perpendicular, or neither? L1 with equation x-2y+10... (answered by Fombitz)
Are the following lines parallel, perpendicular, or neither? L1 with equation x � 2y =... (answered by stanbon,checkley71)