The slope of a curve at ( x,y) is `2x+1` . If the curve passes through the point `(-4,2)` , find the equation of the curve .

The slope of tangent at a point P(x, y) on a curve is - x/y . If the curve passes through the point (3, -4) , find the equation of the curve.

The slope of a curve at (x,y) is (x^(2)-2) and it passes through the point (3,8) . Find the equation of the curve

The gradient (slope) of a curve at any point (x,y) is (x^(2) -4)/(x^(2)) . If the curve passes through the point (2,7) , then the equation of the curve is. . . .

The gradient (siope) of a curve at any point (x,y) is (x^(2)-4)/(x^(2)) . If the curve passes through the point (2 , 7) , then the equation of the curve is ,

The slope of the tangent to a curve at any point (x,y) is (3y+2x+4)/(4x+6y+5) . If the curve passes through (0,-1), find the equation of the curve.

The slope of the tangent at a point P(x, y) on a curve is (- (y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

The slope of a curve at any point (x, y) on it is (4x-3) . If the curve passes through the point (1, 3), then its equation is

The slope of the tangent at p(x,y) on the curve is -((y+3)/(x+2)) . If the curve passes through the origin, find the equation of the curve.

A curve has a property that the slope of the tangent at a point (x, y) is (y)/(x + 2y^(2)) and it passes through (1, 1). Find the equation of the curve.