SOLUTION: Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5. 6x + 2y = 12 -3x + y = 8 3y = 9x y = -x

Algebra ->  Linear-equations -> SOLUTION: Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5. 6x + 2y = 12 -3x + y = 8 3y = 9x y = -x      Log On


   



Question 822209: Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
6x + 2y = 12
-3x + y = 8
3y = 9x
y = -x

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Note: the standard slope-intercept form for an equation of a line is y+=+green%28m%29x+%2B+b
Select the equations of the lines that are parallel to the line whose equation is y = highlight_green%283%29x + 5.
6x + 2y = 12 0r y = -3x + 6
-3x + y = 8 0r y = highlight_green%283%29x + 8 **
3y = 9x 0r y = highlight_green%283%29x **
y = -x

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the line whose equation is y+=+3x+%2B+5 has a slope m=3; we can see it because this equation is written in slope-intercept form y=mx%2Bb where m represents a slope
the lines that are parallel to the line whose equation is y+=+3x+%2B+5 MUST have same slope; so, compare given equation to answer options

6x+%2B+2y+=+12...........write it first in slope-intercept form
2y+=-6x%2B+12
y+=-%286%2F2%29x%2B+12%2F2
y+=-3x%2B+6...............as you can see, slope is -3 and -3%3C%3E3; so, this is NOT your answer

-3x+%2B+y+=+8...solve for y, move -3x to the right
+y+=3x%2B+8... as you can see, slope is 3 and 3=3; so, this IS your answer
3y+=+9x
y+=+9x%2F3
y+=+3x..............as you can see, slope is 3 and 3=3; so, this IS also your answer



y+=+-x....as you can see, slope is -1 and -1%3C%3E3; so, this is NOT your answer
so, the equations of the lines that are parallel to the line whose equation is y+=+3x+%2B+5 are:
-3x+%2B+y+=+8 and
3y+=+9x

let se the graph of lines that are parallel


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x+%2B+5%2C+3x%2C3x%2B+8%29+