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

Algebra ->  Linear-equations -> SOLUTION: A) Find an equation of the line through (-6, 10), parallel to the line with equation 3x – 7y = 14. Write the new equation in point-slope form.       Log On


   

Question 1002656: A)
Find an equation of the line through (-6, 10), parallel to the line with equation 3x – 7y = 14. Write the new equation in point-slope form.




















B) Convert the equation of the new line found in problem #14 to standard form, Ax + By = C, where A, B, and C are integers.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(A)
Only the right hand member will be different; the line is to be parallel.
3x-7y=3%2A%28-6%29-7%2A10
3x-7y=-18-70
highlight_green%283x-7y=-88%29
-
If you want in point-slope form, the slope is 3%2F7.
Equation: highlight%28y-10=%283%2F7%29%28x%2B6%29%29, directly plugging the values into the equation form.


(B)
You could convert if you want, starting from the found point-slope form of the equation, but the use of standard form was done first, using some knowledge of how standard form works.