The problem asks to simplify the equation $y = -1.5x + 1$ and then graph it.

1. Problem Description

The problem asks to simplify the equation $y = -1.5x + 1$ and then graph it.

2. Solution Steps

The equation $y = -1.5x + 1$ is already in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. In this case, $m = -1.5$ and $b = 1$.

We can also rewrite the equation as $y = -\frac{3}{2}x + 1$.

To graph the equation, we can find two points that satisfy the equation.

When $x = 0$, $y = -\frac{3}{2}(0) + 1 = 1$. So, the y-intercept is $(0, 1)$.

When $y = 0$, $0 = -\frac{3}{2}x + 1$. This implies $\frac{3}{2}x = 1$, so $x = \frac{2}{3}$. So, the x-intercept is $(\frac{2}{3}, 0)$.

We can also find another point. Let $x = 2$. Then $y = -\frac{3}{2}(2) + 1 = -3 + 1 = -2$. So, the point $(2, -2)$ is on the line.

3. Final Answer

$y = -1.5x + 1$