Question

Find the equation line
(5,6), (4,7)

Answer 1

`x+y=11`

Explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

`(y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1)`

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

`(y-6)/(x-5)=(7-6)/(4-5)`

`(y-6)/(x-5)=(1)/(-1)`

`(y-6)=-(x-5)`

`y-6=-x+5`

adding x and 6 on both sides we get

`x+y=11`

Hence this is our equation of the line passing through (5,6) & (4,7)