Hi,

Note: the standard slope-intercept form for an equation of a line is 

Select the equations of the lines that are parallel to the line whose equation is y = x + 5.

6x + 2y = 12   0r   y = -3x + 6

 -3x + y = 8   0r   y = x + 8  **

 3y = 9x       0r   y = x      **

 y = -x 

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

the line whose equation is  has a slope ; we can see it because this equation is written in slope-intercept form  where  represents a slope



 the lines that are parallel to the line whose equation is   have  slope; so, compare given equation to answer options





...........write it first in slope-intercept form 





...............as you can see, slope is  and ; so, this is  your answer





...solve for , move  to the right

... as you can see, slope is  and ; so, this  your answer







..............as you can see, slope is  and ; so, this  also your answer









....as you can see, slope is  and ; so, this is  your answer



so, the equations of the lines that are parallel to the line whose equation is  are:



 and







let se the graph of lines that are parallel







 





 

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