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 + 7

will mark brainliest if correct and give 50 pts.

The equation is        y =- 1/2x+7

Step-by-step explanation:

2 x  + 4y =6  

4y =-2 x+6  

Divide both sides  by4  

y =- 1/2x+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 =- 1/2x+7

answer by yourhope:

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