Respuesta :

Answer:

The slope-intercept form of the equation is y = -x + 1.

Step-by-step explanation:

Hey there!

We are given an equation in the standard form of the equation type Ax + By = C. We would like to work with this equation to rewrite it in the slope-intercept form.

Slope-intercept form is represented by the equation y = mx + b.

The equation we have been given can be manipulated to match the slope-intercept form equation.

[tex]2y + 2x = 2[/tex]

Our main goal is to get the y-variable on the left side of the equation and by itself. To achieve this, we can subtract 2x from both sides of the equation.

[tex]2y = -2x + 2[/tex]

Now, we still need to get the y-variable by itself, so to get rid of its coefficient of 2, we can divide both sides of the equation by 2.

[tex]y = -x + 1[/tex]

Therefore, our original equation has been translated to slope-intercept form.

Learn more about slope-intercept form and standard form here: https://brainly.com/question/24436844