Question 1042612
This linear relation can be plotted on the x-y 
axis. The only ( slight ) catch is that usually x is
the independent variable and you could say:
A change in x causes a change in y
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I this case, I don't know which causes which, so I
can plot either height or weight on the x-axis
I'll say weight is on the x-axis and
height is on the y-axis
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I'll convert all heights to inches. here are the given points:
( 150, 65 )
( 155, 67 )
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Use the general point-slope formula:
{{{ ( y - 65 ) / ( x - 150 ) = ( 67 - 65 ) / ( 155 - 150 ) }}}
{{{  ( y - 65 ) / ( x - 150 ) = 2 / 5 }}}
Multiply both sides by {{{ ( x - 150 )*5 }}}
{{{ 5*( y - 65 ) = 2*( x - 150 ) }}}
{{{ 5y - 325 = 2x - 300 }}}
{{{ 5y = 2x + 25 }}}
{{{ y = (2/5)*x + 5 }}}
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What is the weight for a height of 6' 1"
6' 1" = {{{ 73 }}} in
{{{ 73 = (2/5)*x + 5 }}}
{{{ 365 = 2x + 25 }}}
{{{ 2x = 340 }}}
{{{ x = 170 }}}
A 6' 1" person would weigh 170 pounds
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Here's the plot:
{{{ graph( 600, 400, -20, 250, -10, 150, (2/5)*x + 5 ) }}}