Question

How do you graph `y+x=2`?

Answer 1

Refer to the explanation.

Explanation:

Graph `y + x = 2`.

Convert this equation to point-slope form by solving for `y`. The general equation for point-slope form is `y = mx+b`, where `m` is the slope and `b` is the y-intercept.

Subtract `x` from both sides.

`y = -x + 2`,
where `m= -1` and `b=2`

Determine the points which contain the x- and y-intercepts. The y-intercept is the point in which `x=0`, and the x-intercept is the point in which `y=0`.

The point which contains the y-intercept is `(0,2)`.

To determine the point containing the x-intercept, make `y=0` and solve for `x`.

`0=-x+2`

Add `x` to both sides of the equation .

`x=2`

The point containing the x-intercept is `(color(blue)(2,0))`
The point containing the y-intercept is `(color(red)(0,2))`.

Now plot the two points on a graph and draw a straight line through the two points.

graph{y=-x+2 [-10, 10, -5, 5]}