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