This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Yes, 2x+y-3=0 is an equation of a straight line. Step 1: Identify the characteristics of a linear equation. An equation represents a straight line if the highest power of both variables (x and y) is 1, and there are no products of variables (like xy). Step 2: Rearrange the given equation into the slope-intercept form (y=mx+c). Given the equation: 2x+y-3=0 To isolate y, subtract 2x and add 3 to both sides: y = -2x + 3 Step 3: Compare with the slope-intercept form. The equation y = -2x + 3 is in the form y=mx+c, where m=-2 (the slope) and c=3 (the y-intercept). Since it can be expressed in this form, it represents a straight line. The answer is Yes. What's next?