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Theslopeof thelinewhose equation 2x+4y=6x-y is 4/5.The equation inslope-interceptform (y = mx + b), where "m" represents the slope.Given equation: 2x + 4y = 6x - yStep 1: Move the term with "y" to the left side byadding"y" to both sides:2x + 4y + y = 6xStep 2: Combine the "y" terms on the left side:2x + 5y = 6xStep 3: Move the term with "x" to the right side by subtracting 2x from both sides:5y = 6x - 2xStep 4:Combinethe "x" terms on the right side:5y = 4xStep 5: Now, rewrite the equation in slope-intercept form bydividingboth sides by 5:y = (4/5)xThe equation is now in the form y = mx + b, where "m" is theslope.Therefore, theslopeof the line is 4/5.Learn more aboutSlopehere:brainly.com/question/3605446#SPJ3...