Questions: Rewrite the following equation in slope-intercept form. y-7=1/2(x-8)

Solution Steps

To rewrite the given equation in slope-intercept form, which is $y = mx + b$, we need to solve for $y$. This involves distributing the fraction on the right side and then isolating $y$ by adding or subtracting terms as necessary.

Start with the given equation: $$y - 7 = \frac{1}{2}(x - 8)$$ Distribute $\frac{1}{2}$ on the right side: $$y - 7 = \frac{1}{2}x - \frac{1}{2} \times 8$$ This simplifies to: $$y - 7 = \frac{1}{2}x - 4$$

Add 7 to both sides of the equation to solve for $y$: $$y = \frac{1}{2}x - 4 + 7$$ Simplify the right side: $$y = \frac{1}{2}x + 3$$

Final Answer