Question 149847
The slope is defined as (change in {{{y}}}) / (change in {{{x}}})
or {{{m = (y[2] - y[1]) / (x[2] - x[1])}}}
where the given points are
(-2/3 , 6) = ({{{x[1]}}},{{{y[1]}}}) and
(3 , 9) = ({{{x[2]}}},{{{y[2]}}})
{{{m = (9 - 6) / (3 - (-2/3))}}}
{{{m = 3 / (3 + (2/3))}}}
{{{m = 3 / (11/3)}}}
{{{m = 9 / 11}}} answer
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check answer
A straight line has the formula {{{y = mx + b}}}
{{{y = (9/11)x + b}}}
use (3,9) to find {{{b}}}
{{{9  = (9/11)*3 + b}}}
{{{99 = 27 + 11b}}}
{{{11b = 72}}}
{{{b = 72/11}}}
Now find out if this line goes through the other point
{{{6 = (9/11)*(-2/3) + 72/11}}}
{{{6 = -6/11 + 72/11}}}
{{{6 = 66/11}}}
{{{6 = 6}}}
OK