Find the slope of the line parallel to 2y = 6x + 8.

A. 6

B. - 3

C. 3

D. - 6

the given line is 2y=6x+8

let us find slope of this line using y=mx+b

so convert the given equation in slope intercept form,

2y=6x+8

divide both sides by 2

y=3x+4

slope m=3

two parallel lines have same slopes

so slope of line parallel to it is also 3 (option C)

we are given

2y = 6x + 8

firstly, we will solve for y

y=3x+4

now, we can compare it with

y=mx+b

m=3

so, slope of given line is 3

and we know that slope of parallel lines always equal

so, slope of another line will also be 3

so, option-C ... Answer

the given line is 2y=6x+8

let us find slope of this line using y=mx+b

so convert the given equation in slope intercept form,

2y=6x+8

divide both sides by 2

y=3x+4

slope m=3

two parallel lines have same slopes

so slope of line parallel to it is also 3 (option C)