Home > Geometry calculators > Coordinate Geometry > Find the equation of a line passing through point A(5,5) and parallel to the line 2x+3y+4=0

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 Solution Find line through (5,5) and parallel to 2x+3y+4=0Solution:Your problem -> line through (5,5) and parallel to 2x+3y+4=0When two lines are parallel, their slopes are equal.We shall first find the slope of line 2x+3y+4=02x+3y+4=0:. 3y=-2x-4:. y=-(2x)/(3)-4/3:. Slope=-2/3 and hence slope of the line parallel to this line is also -2/3The equation of a line with slope m and passing through (x_1,y_1) is y-y_1=m(x-x_1)Putting (5,5) for (x_1,y_1) and m=-2/3, we get:. y-5=-2/3(x-5):. 3(y-5)=-2(x-5):. 3y -15=-2x +10:. 2x+3y-25=0 Solution provided by AtoZmath.com Any wrong solution, solution improvement, feedback then Submit Here Want to know about AtoZmath.com and me