Final answer:
To convert the equation y - 3 = (1/2)(x + 6) into slope-intercept form, distribute the (1/2) across x + 6, add 3 to both sides, and simplify to get y = (1/2)x + 6.
Step-by-step explanation:
The student has provided the equation y - 3 = (1/2)(x + 6), which needs to be converted into the slope-intercept form, represented as y = mx + b. To convert the given equation, we start by applying the distributive property to the right side of the equation.
y - 3 = (1/2) × x + (1/2) × 6
This simplifies to:
y - 3 = (1/2)x + 3
Then, we add 3 to both sides to isolate y:
y = (1/2)x + 3 + 3
Which simplifies to the slope-intercept form:
y = (1/2)x + 6
Therefore, the equation of the line in slope-intercept form is y = (1/2)x + 6.