Final answer:
To write the given equation in slope-intercept form, distribute the negative sign and isolate y.
Step-by-step explanation:
To write the equation y - 2 = -(x - 3) in slope-intercept form, we need to solve for y. First, distribute the negative sign to the expression inside the parentheses:
y - 2 = -x + 3
Next, isolate y by adding 2 to both sides:
y = -x + 3 + 2
Combine like terms:
y = -x + 5
Therefore, the slope-intercept form of the equation is y = -x + 5.
Learn more about Slope-intercept form of an equation