SOLUTION: Find the equation of the line through (-6,10), parallel to the line with equation 3x-7y=14. Write the new equation in point-slope form. Convert the equation of the new line to stan

Question 1066457: Find the equation of the line through (-6,10), parallel to the line with equation 3x-7y=14. Write the new equation in point-slope form. Convert the equation of the new line to standard form, Ax+By=C, where A, B, and C are integers.
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
3x-7y=14
-7y=-3x+14
y=(3x/7)-2
the slope is (3/7)
Parallel lines have the same slope
point slope formula y-y1=m(x-x1), where m is the slope (3/7) and (x1,y1) the point.
y-10=(3/7)(x+6)
y-10=(3x/7)+(18/7)
y=(3/7)x+(88/7)
multiply by 7
move x to left
multiply by -1 to make coefficient of x positive
7y=3x+88
3x-7y=-88

Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
-----------------------------------------------------------------
...equation of the line through (-6,10), parallel to the line with equation 3x-7y=14.
-----------------------------------------------------------------

The entire left-side member can be kept the same to keep in STANDARD FORM.
, the right side member is simply the left-expression with the included point substituted.

Simplifying, ,
---------the standard form for the equation asked for.

Note, the slope is still unchanged, because also "parallel" line was wanted.
The slope is still . To put the desired equation into point-slope form, containing point (-6,10), .

Putting into point-slope form first, and then converting into standard form Ax+By=C was not necessary.
RELATED QUESTIONS
Find an equation of the line through (-6,10) parallel to the line with equation 3x-7y=14. (answered by Cromlix)
Find an equation of the line through (-6, 10), parallel to the line with equation 3x � 7y (answered by Cromlix)
A) Find an equation of the line through (-6, 10), parallel to the line with equation 3x... (answered by josgarithmetic)
write an equation in standard form for a line that is parallel to the line with an... (answered by TimothyLamb)
Find an equation for the line with the given property. It passes through the point (3, (answered by josgarithmetic,greenestamps)
Write an equation in point-slope form for the line through the point (-2,1) parallel to... (answered by mananth)
Find an equation of a straight line through the point P (2, 3) and parallel to line... (answered by DrBeeee)
Find the line through the point (1,4) and parallel to y = 3x-2. Write the equation in... (answered by josgarithmetic)
Find the equation of the line that passes through the point (3,-6) and is parallel to the (answered by ewatrrr)