Question

Write in slope intercept form

2y+x=1

Answer 1

Answer: y = -1/2x + 1/2

Step-by-Step Solution:

Slope Intercept Form :-
• y = mx + b

Therefore,
2y + x = 1
2y = 1 - x
y = 1/2 - x/2 (We know, a - b = -b + a)
y = -x/2 + 1/2
=> y = -1/2x + 1/2

Answer 2

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

(these are equivalent)

Explanation:

Slope-intercept form is:

y = mx + b

So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

y = 1/2 - x/2

Rearrange the terms on the right side so that the x term is first and the constant is last.

y = -x/2 + 1/2

I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

y = -1/2 x + 1/2