Question

Find the equation of a line passing through the midpoint of the line joining the points ( 3, -4) and ( 1, 4) and parallel to the line 3x – 2y = 4​

Answer 1

Given : a line passing through the midpoint of the line joining the points ( 3, -4) and ( 1, 4) and parallel to the line 3x – 2y = 4​

To Find  : equation of   line

Solution:

Mid point of   ( 3, -4) and ( 1, 4)  

= (3 + 1)/2 , (-4 + 4)/2

= (2 , 0)

parallel to the line 3x – 2y = 4​

=> 2y = 3x - 4

=> y = 3x/2 - 2

slope  = 3/2

Parallel line has same slope

Equation of line with slope 3/2  and passing through ( 2, 0)

y - 0  = (3/2)(x - 2)

=> 2y  = 3x  - 6

=> 3x - 2y  = 6

3x - 2y  = 6   is the equation of line passing through the midpoint of the line joining the points ( 3, -4) and ( 1, 4) and parallel to the line 3x – 2y = 4​

Learn More:

05Find the equation of the straight line passing through the point of ...

https://brainly.in/question/16894025

A line that passes through the points (–4, 10) and (–1, 5) can be ...

https://brainly.in/question/18235836

Give the equations of two lines passing through (5 ,15 ) . How many ...

https://brainly.in/question/17486960