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