Which is the equation of a line parallel to the line with the equation: y= 1/4 x + 2

1 .y = -4x -7

2 .y= 4x + 2

3 .y=1/4x - 1/2

4. y= -1/4x + 3

The answer is the 3rd Option: y= 1/4x - 1/2

Step-by-step explanation:

The best way to see if a line is parallel to another line is if they have the same slope. In the slope intercept form,  Y=MX+B  , the slope of the line can be identified as M.

Therefore, 1/4 is the slope for both the equation given and the 3rd answer choice.

Brainliest if you can please!  ;)

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .