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

Algebra.Com
Question 224562: find the slope of a line parallel to the line 3x+7y=-2
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
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.



Subtract 3x from both sides of the equation





Divide by 7 to both sides of the equation





Step 4. Comparing with we have and

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


I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

RELATED QUESTIONS

find the slope of a line parallel to the line... (answered by drj)
find the slope of a line parallel to the line... (answered by drj)
find the slope of a line parallel to each given line. 7x + 7y =... (answered by macston)
Consider the line -3x-7y=8 What is the slope of a line parallel to this line? What... (answered by dkppathak)
find the slope of a line parallel to the graph of... (answered by richard1234)
find the slope of a line parallel to x =... (answered by College Student)
Find the slope of a line parallel to the line.... (answered by ewatrrr)
Find an equation of the line through (-6,10) parallel to the line with equation 3x-7y=14. (answered by Cromlix)
Give the slope of the line that is (a) parallel to and (b) perpendicular to the given... (answered by josgarithmetic)