SOLUTION: Find an equation of the line containing the point (2, -1) and parallel to the line 8x=7y-24. Please provide step-by-step for arriving to the answer. Thanks to my textbook I know th

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line containing the point (2, -1) and parallel to the line 8x=7y-24. Please provide step-by-step for arriving to the answer. Thanks to my textbook I know th      Log On


   

Question 363062: Find an equation of the line containing the point (2, -1) and parallel to the line 8x=7y-24. Please provide step-by-step for arriving to the answer. Thanks to my textbook I know the answer is y=8/7x-23/7. I want to know how they arrived at that answer, because when I do it I get y=8/7x+24/7.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope by converting to slope-intercept form, y=mx%2Bb
8x=7y-24
7y=8x%2B24
y=%288%2F7%29x%2B24%2F7<--- That's the slope-intercept form of the first line.
Parallel lines have identical slopes.
m%5B1%5D=m%5B2%5D=8%2F7
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y=%288%2F7%29x%2Bb
Now use point (2,-1) to solve for b.
-1=%288%2F7%29%282%29%2Bb
-7%2F7=16%2F7%2Bb
b=-23%2F7
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highlight%28y=%288%2F7%29x-23%2F7%29<--- That's the slope-intercept form of the second line.
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