# What is the point-slope form of the three lines that pass through (0,2), (4,5), and (0,0)?

##### 1 Answer

The equations of three lines are

#### Explanation:

The equation of line joining

while equation in pint slope form is of the type

Hence equation of line joining

or

in point slope form it is

and equation of line joining

or

in point slope form it is

**For equation of line joining #(0,0)# and #(0,2)#, as #x_2-x_1=0# i.e. #x_2=x_1#, the denominator becomes zero and it is not possible to get equation. Similar would be the case if #y_2-y_1=0#. In such cases as ordinates or abscissa are equal, we will have equations as #y=a# or #x=b#.**

Here, we have to find the equation of line joining