Given the equation y=2x+5 write the equation of the line that is perpendicular

A perpendicular line has a slope that is the negative reciprocal of the original line. So the product must be - 1. what number * 2 = - 1? Let's make this an equation: 2n = - 1 (n equals the new slope of the perp. line) and solve for n. Divide both sides by 2 and you get n = - 1/2. Now, you have to come up with the y-int. You may pick whatever you want. Let's just say for example: y = - 1/2 x + 1. Otherwise, keeping the slope - 1/2, you can pick whatever y-int you want.