Two Point form

\(\bullet \;\) Find the equation of the line passing through the points \(P(2, 3)\) and \(Q(5, -1)\) using the two-point form.

\(\bullet \;\) Determine the equation of the straight line that goes through \(A(1, 2)\) and \(B(3, 6)\) in the two-point form.

\(\bullet \;\) Given the points \(C(-3, 4)\) and \(D(1, 1)\), calculate the equation of the line using the two-point form.

\(\bullet \;\) Find the equation of the line passing through \(E(-2, -5)\) and \(F(4, 3)\) using the two-point form.

\(\bullet \;\) Determine the equation of the straight line that passes through \(G(0, 0)\) and \(H(-6, 8)\) in the two-point form.

\(\bullet \;\) Given points \(I(3, -2)\) and \(J(-1, 5)\), find the equation of the line using the two-point form.

\(\bullet \;\) Find the equation of the line passing through \(K(1, 4)\) and \(L(-2, -2)\) using the two-point form.

\(\bullet \;\) Calculate the equation of the straight line that goes through \(M(2, 1)\) and \(N(7, 6)\) in the two-point form.

\(\bullet \;\) Given points \(O(0, 0)\) and \(P(3, 9)\), find the equation of the line using the two-point form.

\(\bullet \;\) Determine the equation of the line that passes through \(Q(-4, 3)\) and \(R(6, 11)\) using the two-point form.



ANSWERS

\(\bullet \; 4x + 3y = 17\)

\(\bullet \; 2x - y = 0\)

\(\bullet \; 4y + 3x = 7\)

\(\bullet \; -3y + 4x = 7\)

\(\bullet \; 3y + 4x = 0\)

\(\bullet \; 7x + 4y = 13\)

\(\bullet \; 2x - y = -2\)

\(\bullet \; 3x - y = 0\)

\(\bullet \; \displaystyle 5y - 4x = 31\)