1. The problem is to analyze the linear equation $y = 2x - 1.5$ and understand its properties. 2. The general form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. For the equation $y = 2x - 1.5$, the slope $m = 2$ and the y-intercept $b = -1.5$. 4. The slope $m = 2$ means the line rises 2 units vertically for every 1 unit it moves horizontally to the right. 5. The y-intercept $b = -1.5$ means the line crosses the y-axis at the point $(0, -1.5)$. 6. To find the x-intercept, set $y = 0$ and solve for $x$: $$0 = 2x - 1.5$$ $$2x = 1.5$$ $$x = \frac{1.5}{2}$$ $$x = 0.75$$ 7. So, the x-intercept is at $(0.75, 0)$. 8. The line is increasing because the slope is positive. 9. The equation can be graphed as a straight line passing through points $(0, -1.5)$ and $(0.75, 0)$. Final answer: The line $y = 2x - 1.5$ has slope 2, y-intercept $-1.5$, and x-intercept $0.75$.