The equation would be y = -1/2x + 8 Step-by-step explanation: To find the equation of the line, we start by find the slope. Perpendicular slopes have opposite and reciprocal slopes. Since the original slope is 2, then the perpendicular slope is -1/2. Now, using the point and the slope in point-slope form, we can find the equation. y - y1 = m(x - x1) y - 6 = -1/2(x - 4) y - 6 = -1/2x + 2 y = -1/2x + 8