Answer
$$y = -\frac{3}{2}x + 3$$
Work Step by Step
To put this equation into slope-intercept form, we must solve for $y$ by subtracting $3$ from each side of the equation:
$$y = -\frac{3}{2}(x - 4) - 3$$
Let's use distributive property to simplify the equation:
$$y = -\frac{3}{2}x + \frac{12}{2} - 3$$
Simplify the fraction:
$$y = -\frac{3}{2}x + 6 - 3$$
Group like terms:
$$y = -\frac{3}{2}x + (6 - 3)$$
Combine like terms:
$$y = -\frac{3}{2}x + 3$$
