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Lesechka [4]
3 years ago
9

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 bec

omes slope = -1, y intercept = 2. Though I'm not sure how to get these.
Mathematics
2 answers:
Tju [1.3M]3 years ago
5 0

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.

IgorLugansk [536]3 years ago
3 0

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.

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