SOLUTION: Are the following linear equation lines parallel or not? 3 x + 2 y = 6 6 x + 4 y = 8

Algebra.Com
Question 596095: Are the following linear equation lines parallel or not?

3 x + 2 y = 6

6 x + 4 y = 8

Answer by math-vortex(648)   (Show Source): You can put this solution on YOUR website!
Hi, there--
. Two lines are parallel if they have the same slope (and they are not the same line.) Translate these equations to slope-intercept form (y=mx+b) and you can read their slopes as the coefficient of the x-term (m).
.



.



.
We see that both lines have a slope of -3/2. They are not the same line because the y-intercepts (b) are 3 and 2, respectively.
.
The lines are parallel.
.
Feel free to email with any questions,
Ms.Figgy
math.in.the.vortex@gmail.com

RELATED QUESTIONS

determine wheather the following pairs of lines are parallel or not y=3/4x +6... (answered by jojo14344)
x+6=y y-x=-2 Are the lines parallel? (answered by acalgebra)
Is the equation of the data below linear or not? x y 1 4 2 6 3 8 4... (answered by rapaljer)
Are the following lines parallel, perpendicular, or neither? L1 with equation x - 6y = (answered by fractalier)
Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y... (answered by tutorcecilia)
Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y =... (answered by HyperBrain,edjones)
Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y... (answered by kmcruz09,MathLover1)
Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y... (answered by jim_thompson5910)
Are the following lines parallel, perpendicular, or neither? x-6y=12 6x+y=6 (answered by oscargut)