SOLUTION: Which line is parallel to x = y/3 - 8/3? A. 2x + 3y = 4 B. -3x - 8y = 1 C. 6x - 2y = 5 D. -8x + 6y = 6

Algebra ->  Points-lines-and-rays -> SOLUTION: Which line is parallel to x = y/3 - 8/3? A. 2x + 3y = 4 B. -3x - 8y = 1 C. 6x - 2y = 5 D. -8x + 6y = 6      Log On


   

Question 965571:
Which line is parallel to x = y/3 - 8/3?
A. 2x + 3y = 4
B. -3x - 8y = 1
C. 6x - 2y = 5
D. -8x + 6y = 6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

to find out which line is parallel to x+=+y%2F3+-+8%2F3, first write this one in slope-intercept form to find a slope
recall: parallel line have same slope
x+=+y%2F3+-+8%2F3.......both sides multiply by 3
3x+=+y+-+8....solve for y
y=highlight%283%29x%2B8+=> a slope is highlight%283%29
now write these equations one in slope-intercept form to find a slope
A.
2x+%2B+3y+=+4
3y+=-2x%2B+4
y+=-%282%2F3%29x%2B+4%2F3 => a slope is highlight%28-2%2F3%29; so, this is NOT your answer
B.
-3x+-+8y+=+1
-3x+-+1+=8y
-%283%2F8%29x+-+1%2F8+=y=> a slope is highlight%28-3%2F8%29; so, this is NOT your answer

C.
6x+-+2y+=+5
6x+-+5+=+2y
6x%2F2+-+5%2F2+=+y
3x+-+5%2F2+=+y=> a slope is highlight%283%29; so, this IS your answer

D.
-8x+%2B+6y+=+6
6y+=8x%2B+6
y+=8x%2F6%2B+6%2F6
y+=%284%2F3%29x%2B+1> a slope is highlight%284%2F3%29; so, this is NOT your answer
so, your answer is C.