# SOLUTION: write an equation of the line that passes through point (4,7) and is perpendicular to the line whose equation is 2x+3y=4

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 Click here to see ALL problems on Linear-equations Question 509313: write an equation of the line that passes through point (4,7) and is perpendicular to the line whose equation is 2x+3y=4 Answer by stanbon(57307)   (Show Source): You can put this solution on YOUR website!write an equation of the line that passes through point (4,7) and is perpendicular to the line whose equation is 2x+3y=4 --- slope-intercept form of the given line: y = (-2/3)x +(4/3) Notice the slope is -2/3 ---- Any perpendicular line must have slope = 3/2 ------ Find equation of line with m = 3/2 passing thru (4,7) Form: y = mx + b 7 = (3/2)4 + b 7 = 6 + b b = 1 ---- Equation: y = (3/2)x + 1 ===================== Cheers, Stan H. =====================