1. The problem is to write the equation \(-2x + 4y = 7\) in the form \(ax + by + c = 0\). 2. The general form of a linear equation in two variables is \(ax + by + c = 0\), where \(a\), \(b\), and \(c\) are constants. 3. To convert the given equation to this form, we need to move all terms to one side of the equation so that the right side equals zero. 4. Starting with \(-2x + 4y = 7\), subtract 7 from both sides: \(-2x + 4y - 7 = 0\) 5. Now the equation is in the form \(ax + by + c = 0\) with \(a = -2\), \(b = 4\), and \(c = -7\). Final answer: $$-2x + 4y - 7 = 0$$