Q:

Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4).A) y = 2x + 4 B) y = 2x - 8 C) y = -2x + 16 D) y = -1/2 + 7will mark brainliest if correct and give 50 pts.

Accepted Solution

A:
Answer:The equation is        y = - 1/2 x+7Step-by-step explanation:2 x  + 4y = 6  4y = -2 x +6  Divide both sides  by 4  y = - 1/2 x + 3/2   y=mx+b  slope m = - 1/2  The slope of a line parallel to another  line will be the same   The slope of the required line will be - 1/2  m= - 1/2 ,point ( 6 , 4 ) Plugging the values of m  and  the point in  y=mx+b  4 = -3 + b  b= 7  m= - 1/2  Plug values   y = mx +b   y = - 1/2 x+7