## 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 $$B=(-2{,}3)$$