Question

find the equation of the line parallel to 3x+2y=8 and passing through the midpoint of the segment joining (2,7) and (-4,1) .​

Answer 1

Answer:

Step-by-step explanation:

first find the midpoint =( (2-4) / (1+7)/2)

which is(-1,4)

as the line is parallel its means that it has the same slope as give in the equation. -3/2 x +4 =y.      

so the slope is -3/2

so the equation of parallel line is = y - 4 =-3/2 ( x+1)

2y - 8 =3x +3

= 3x- 2y + 11