y−2=3/2(x+2)

Answer 1

To solve the equation \( y - 2 = \frac{3}{2}(x + 2) \), you can start by isolating \( y \).

1. Distribute the \( \frac{3}{2} \) on the right side of the equation:

   \[ y - 2 = \frac{3}{2}x + \frac{3}{2} \times 2 \] \[ y - 2 = \frac{3}{2}x + 3 \]

2. Next, add 2 to both sides to isolate \( y \):

   \[ y = \frac{3}{2}x + 3 + 2 \] \[ y = \frac{3}{2}x + 5 \]

So, the equation in slope-intercept form \( (y = mx + b) \) is:

\[ y = \frac{3}{2}x + 5 \]

This represents a linear equation where the slope \( m \) is \( \frac{3}{2} \) and the y-intercept \( b \) is \( 5 \).