1. The problem asks us to determine if the equation $4x + 2y - 10 = 0$ represents a straight line and explain why. 2. The general form of a linear equation in two variables $x$ and $y$ is $$Ax + By + C = 0$$ where $A$, $B$, and $C$ are constants. 3. In this equation, $4x + 2y - 10 = 0$, we identify $A=4$, $B=2$, and $C=-10$. 4. Since the equation fits the form $Ax + By + C = 0$ with constants $A$, $B$, and $C$, it represents a straight line. 5. This is because any equation that can be written in this linear form describes a line in the Cartesian plane. 6. Therefore, $4x + 2y - 10 = 0$ is the equation of a straight line. Final answer: The equation $4x + 2y - 10 = 0$ represents a straight line because it is a linear equation in two variables in the standard form $Ax + By + C = 0$.