Question 583673
First find the midpoint of (-4,5), (6,3)
You find the midpoint of the x co-ordinates
and then the midpoint of the y co-ordinates
x[mid]: {{{ ( 6 - 4 )/2 = 1 }}}
y[mid]: {{{ ( 3 + 5 )/2 = 4 }}}
The midpoint is at (1,4)
You can use the point-slope formula:
{{{ ( y - 4 ) / ( x - 1 ) = 2/3 }}}
{{{ 3*( y - 4 ) = 2*( x - 1 ) }}}
{{{ 3y - 12 = 2x - 2 }}}
{{{ 3y = 2x + 10 }}}
{{{ y = (2/3)*x + 10/3 }}}
check:
Does it go through (1,4)?
{{{ 4 = (2/3)*1 + 10/3 }}}
{{{ 4 = 12/3 }}}
{{{ 12 = 12 }}}
OK