Question

14. Find the midpoint of the line segment joining the points (3,0) and (-1,4).​

Answer 1

Answer:

the mid point of line segment $[ -\frac{1}{2} , 2]$

Step-by-step explanation:

Given points of the line segment are ( 3,0) and (-1 , 4)

      if  $( X_{1} , X_{2} )$  and ( $( Y_{1} , Y_{2} )$ are points of a line segments

  then the mid points of the line segment

                   =  $( \frac{X_{1} +X_{2} }{2} , \frac{Y_{1} - Y_{2} }{2} )$    

            mid point of the line segment =   $[\frac{3+ (-4) }{2 } , \frac{0+4}{2} ]$

                                                               =  $[\frac{3-4}{2} , \frac{4}{2} ]$

                                                                =  $[ -\frac{1}{2} , \frac{4}{2} ]$

                                                                 = $[-\frac{1}{2} , 2 ]$