Write and equation of the line containing the given point and parallel to the given line.

Question

(5,-1) ; 4x+7y=6        Ax+Bx=c form

Answer 1

7y=-4x +6

y = -(4/7)x + 6/7

y= -(4/7)x + b where b = y intercept of a parallel line. plug in the point to solve for b

-1 =-(4/7)(5) + b

b = 20/7 - 1 = 13/7

y = -(4/7)x + 13/7

7y =-4x +13

4x+7y = 13 is a parallel line through the given point