Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2). In the line y = 2x - 5, the slope is 2. The perpendicular slope is -1/2 (4,-2) , m = -1/2 {point and slope} y - y1 = m(x - x1) {point-slope form} y - (-2) = (-1/2)(x - 4) {substituted point and slope into point-slope form} y + 2 = (-1/2)x + 2 {used distributive property} y = (-1/2)x {subtracted 2 from each side} - Algebra House
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