Question

Line AB goes through points A(3, 4) and B(7, 7).

Answer 1

The equation of line is 4 y - 3 x - 7 = 0

Explanation:

Given points of line as

A = ( 3 , 4 )

B = ( 7 , 7 )

Now The equation of line is written as :

`y-y_1 = m  (x-x_1)`

Where m is the slope of line

So, m =
`(y_2-y_1)/(x_2 - x_1)`

Or, m =
`(7-4)/(7 - 3)`

Or, m =
`(3)/(4)`

∴ slope of line is
`(3)/(4)`

Now equation of line with slope and points as

`y-4 = (3)/(4)  (x-3)`

Or, 4× ( y - 4 ) = 3× ( x - 3 )

Or, 4 y - 16 = 3 x - 9

Or, 4 y - 3 x - 7 = 0

Hence The equation of line is 4 y - 3 x - 7 = 0 Answer