y-y1=y2-y1/x2-x1(x-x1)

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Solution for y-y1=y2-y1/x2-x1(x-x1) equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

y-y^1 = y^2-(x^1*(x-x^1))-((y^1)/(x^2)) // - y^2-(x^1*(x-x^1))-((y^1)/(x^2))

x^1*(x-x^1)-y^2+y-y^1+(y^1)/(x^2) = 0

x*(x-x)-y^2+y-y+y/(x^2) = 0

y-y^2-y+y/(x^2)+0*x = 0

(x^2*(-y^2))/(x^2)+(x^2*y)/(x^2)+(x^2*(-y))/(x^2)+y/(x^2)+(0*x*x^2)/(x^2) = 0

x^2*(-y^2)+x^2*y+x^2*(-y)+y+0*x*x^2 = 0

x^2*y-(x^2*y^2)-(x^2*y)+y = 0

y-(x^2*y^2) = 0

(y-(x^2*y^2))/(x^2) = 0

(y-(x^2*y^2))/(x^2) = 0 // * x^2

y-(x^2*y^2) = 0

x^2*(-y^2) = -y // : -y^2

x^2 = y^-1

x^2 = y^-1 // ^ 1/2

abs(x) = y^(-1/2)

x = y^(-1/2) or x = -y^(-1/2)

x in { y^(-1/2), -y^(-1/2) }

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