Question 947787
Plot {{{ p }}} on the vertical axis
Plot {{{ q }}} on the horizontal axis
------------------------------
You are given the 2 points, ( q,p ):
( 20, 64 )
( 70, 44 ) 
( {{{ p }}} is scaled down by {{{ 1/10000 }}} )
-------------------------------------
Use the general point-slope formula
{{{ ( y - 44 ) / ( x - 70 ) = ( 64 - 44 ) / ( 20 - 70 ) }}}
{{{ ( y - 44 ) / ( x - 70 ) = 20 / (-50) }}}
{{{ ( y - 44 ) / ( x - 70 ) = -2/5 }}}
Multiply both sides by {{{ 5*( x - 70 ) }}}
{{{ 5*( y - 44 ) = -2*( x - 70 ) }}}
{{{ 5y - 220 = -2x + 140 }}}
{{{ 5y = -2x + 360 }}}
{{{ y = -(2/5)*x + 72 }}}
---------------------
check:
( 20,64 )
{{{ y = -(2/5)*x + 72 }}}
{{{ 64 = -(2/5)*20 + 72 }}}
{{{ 64 = -8 + 72 }}}
{{{ 64 = 64 }}}
---------------
You can check the other point
Here's the plot:
{{{ graph( 400, 400, -10, 100, -10, 80, -(2/5)*x + 72 ) }}}