Final answer:
To convert the equation Y - 3 from point-slope form to slope-intercept form, add 3 to both sides of the equation and simplify. The resulting equation in slope-intercept form is y = -2x + 7/2 (Option C).
Step-by-step explanation:
The equation Y - 3 is written in point-slope form. To convert it into slope-intercept form, we need to isolate the variable y on one side of the equation. Let's add 3 to both sides of the equation:
Y - 3 + 3 = -2x + 1/2 + 3
Y = -2x + 1/2 + 6/2
Y = -2x + 7/2
So, the equation in slope-intercept form is y = -2x + 7/2 (Option C).