## Line through two points

### Task number: 2350

Find formuli for the line \(\pi\) in the parametric form \((x,y)=(x_0,y_0)+t(p,q)\), in general form \(ax+by+c=0\), in "division" form \(\frac{x}{g} + \frac{y}{h} = 1\) and in slope-intercept form \(y=kx+l\). The line, goes through points \(A\) and \(B\) at given positions.

Decide, whether the coefficients \(x_0,…, l\) are unique.

#### Variant 1

\(A=(1{,}2)\) and \(B=(3{,}4)\)

#### Variant 2

\(A=(-3{,}0)\) and \(B=(2{,}3)\)

#### Variant 3

\(A=(1,-1)\) and \(B=(2{,}2)\)

#### Variant 4

\(A=(2,-1)\) and \(B=(2{,}4)\)

#### Variant 5

\(A=(0{,}1)\) and \(B=(4{,}3)\)

#### Variant 6

\(A=(2{,}1)\) and \(B=(4{,}2)\)

#### Variant 7

\(A=(0{,}3)\) and \(B=(-2{,}3)\)