1. The problem asks: Which linear equation is written in standard form? 2. The standard form of a linear equation is given by the formula: $$Ax + By = C$$ where $A$, $B$, and $C$ are integers, and $A$ should be non-negative. 3. Let's analyze each option: - Option 1: $x + \frac{5}{2}y = 15$ - This is close to standard form but has a fraction $\frac{5}{2}$, so not strictly standard form. - Option 2: $3x - 5y = 15$ - This matches the form $Ax + By = C$ with integer coefficients. - Option 3: $y = 2x - 7$ - This is in slope-intercept form, not standard form. - Option 4: $3w - 1 = 3(x - 8)$ - This is an equation but not simplified or in standard form. 4. Therefore, the linear equation written in standard form is: $$3x - 5y = 15$$ Final answer: $3x - 5y = 15$