Question 224562
Find the slope of a line parallel to the line 3x+7y=-2


Step 1.  We can find the slope by recognizing that parallel lines have the same slope. 


Step 2.  Need to put above line in slope intercept form given as y=mx+b where m is the slope and b is the y-intercept b when x=0 or at point (0,b).


Step 3.  Solving for y in 3x+7y=-2 yields the following steps.


{{{3x+7y=-2}}}


Subtract 3x from both sides of the equation


{{{3x+7y-3x=-2-3x}}}


{{{7y=-3x-2}}}


Divide by 7 to both sides of the equation


{{{7y/7=-3x/7-2/7}}}


{{{y=-3x/7-2/7}}}


Step 4.  Comparing {{{y=-3x/7-2/7}}} with {{{y=mx+b}}}  we have {{{m=-3/7}}} and {{{b=-2/7}}}


Step 5.  ANSWER:  The slope of the parallel line is -3/7.



I hope the above steps and explanation were helpful.


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And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV