SOLUTION: find the slope of a line parallel to the line 3x+7y=-2

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Question 224562: find the slope of a line parallel to the line 3x+7y=-2
Answer by drj(1380) About Me  (Show Source):
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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%2B7y=-2

Subtract 3x from both sides of the equation

3x%2B7y-3x=-2-3x

7y=-3x-2

Divide by 7 to both sides of the equation

7y%2F7=-3x%2F7-2%2F7

y=-3x%2F7-2%2F7

Step 4. Comparing y=-3x%2F7-2%2F7 with y=mx%2Bb we have m=-3%2F7 and b=-2%2F7

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