1. **State the problem:** We are given the linear equation $y = 2x - 5$ and want to understand its graph and key features. 2. **Formula and rules:** The equation is in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and intercept:** Here, $m = 2$ means the line rises 2 units for every 1 unit it moves right. The y-intercept $b = -5$ means the line crosses the y-axis at $(0, -5)$. 4. **Find x-intercept:** Set $y=0$ to find where the line crosses the x-axis: $$0 = 2x - 5$$ $$2x = 5$$ $$x = \frac{5}{2}$$ 5. **Plot points:** Using the slope and intercept, points like $(-2, -9)$, $(-1, -7)$, $(0, -5)$, $(1, -3)$, and $(2, -1)$ lie on the line. 6. **Interpretation:** The line slopes upward from left to right, consistent with the positive slope 2. **Final answer:** The line $y = 2x - 5$ has slope 2, y-intercept at $(0, -5)$, and x-intercept at $(\frac{5}{2}, 0)$.