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Question 430695: write and equation of the line containing the points (3,-1) and is parallel to 8x-7y=9
Found 3 solutions by mananth, ikleyn, timofer:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! 8 x -7 y = 9
Find the slope of this line
-7 y = -8 x + 9 1.14
Divide by -7
y = 1.14 x + -1.29
Compare this equation with y=mx+b
slope m = 1.14
The slope of a line parallel to the above line will be the same
The slope of the required line will be 1.14
m=1.14 ,point (3,-1)
Find b by plugging the values of m & the point in
y=mx+b
-1=3.43 +b
b=-4.43
m=1.14
Plug value of the slope and b
The required equation is y=1.14x-4.43,point (-1, 2) and is parallel to the line with equation 8x-7y=9
Answer by ikleyn(53419)  (Show Source):
You can put this solution on YOUR website! .
write and equation of the line containing the points (3,-1) and is parallel to 8x-7y=9
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I will provide another solution, much simpler than another tutor produced, and without using decimal numbers.
This my simple solution will bring you an EXACT equation instead of an approximate equation produced by @mananth.
The truth is that if you are given equation of the line
ax + by = c,
then any parallel line has equation
ax + by = d,
with the same form in the left side and some other real number 'd' in the right side.
So, we look for the equation for parallel line
8x - 7y = d, (1)
and we should find the value of 'd' such that the coordinates (3,-1) of the given point
satisfy this equation
8*3 - 7*(-1) = d,
which gives d = 24 + 7 = 31.
Thus the needed equation is 8x - 7y = 31. ANSWER
Solved.
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This my solution is a STANDARD TREATMENT for such kind of problems.
Doing this way, you should not worry about the slope, at all.
Answer by timofer(136)  (Show Source):
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