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

Answer:

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

Step-by-step 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

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

$x+y=2$

And we subtracted x from both sides to acquire:

$y=2-x$

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

$y=mx+b$

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

If we rearrange our equation:

$y=2-x\\y=-x+2$

And put some parentheses:

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

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

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