Question

Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result becomes slope = -1, y intercept = 2. Though I'm not sure how to get these.

Answer 1

`\Large \boxed{{m=-1, \ b=2}}`

Explanation:

x + y = 2

We need the equation in the form y = mx + b.

m = slope

b = y-intercept

Solve for y by subtracting x from each side.

y = 2 - x

The -x can be written as -1x.

y = 2 - 1x

Rearrange the expression.

y = -1x + 2

The equation is in form y = mx + b.

The slope is -1.

The y-intercept is 2.

Answer 2

See below.

Explanation:

We are given the equation:

`x+y=2`

And we subtracted x from both sides to acquire:

`y=2-x`

Notice that this is the slope-intercept form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

If we rearrange our equation, we acquire:

`y = -(1)x+(2)`

Therefore, m = -1 and b = 2.

In other words, the slope is -1 and the y-intercept is 2.