Answer
$y = -x + 2$
Work Step by Step
We are given the line $y + 2 = -(x - 4)$.
This equation is in point-slope form, which is given by the formula:
$y - y_1 = m(x - x_1)$,
where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
However, we want this line in slope-intercept form.
The first thing we want to do is use the distributive property to get rid of the parentheses:
$y + 2 = -(x) - (-4)$
Multiply to simplify the equation:
$y + 2 = -x + 4$
The slope-intercept form is given by the equation:
$y = mx + b$,
where $m$ is the slope of the line and $b$ is the y-intercept of the line.
Therefore, with the slope-intercept form, we need to isolate $y$. We do this by subtracting $2$ from each side of the equation:
$y + 2 - 2 = -x + 4 - 2$
Add or subtract to simplify:
$y = -x + 2$
This line is now rewritten in slope-intercept form.
