Question 1151343
H(x) has points 
( 2,2 )
( 4,5 )
( 6,8 )
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{{{ y = m*x + b }}}
(2,2)
{{{ 2 = m*2 + b }}}
{{{ 2m + b = 2 }}}
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(4,5)
{{{ 5 = m*4 + b }}}
{{{ 4m + b = 5 }}}
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Subtracting:
{{{ 4m + b = 5 }}}
{{{ -2m - b = -2 }}}
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{{{ 2m = 3 }}}
{{{ m = 3/2 }}}
and
{{{ 2m + b = 2 }}}
{{{ 2*(3/2) + b = 2 }}}
{{{ b = -1 }}}
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The equation is:
{{{ y = (3/2)*x  - 1 }}}
check:
(6,8)
{{{ 8 = (3/2)*6 - 1 }}}
{{{ 8 = 9 - 1 }}}
{{{ 8 = 8 }}}
OK
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The y-intercepts are {{{ 6 }}} and {{{ -1 }}}
{{{ 6 -(-1) = 7 }}}
Answer is B. 7