Question 261982
Here are the steps
step 1 - find the slope between (1, 2), (3, 7) using slope formula as
{{{m = (y2-y1)/(x2-x1)}}}
we get
{{{m = (7-2)/(3-1)}}}
so
{{{m = 5/2}}}
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now the slope between (3,7) and (10,t) must have the same slope to be colinear. Again, using the slope formula, we get
{{{m = (y2-y1)/(x2-x1)}}}
and then
{{{(5/2) = (t-7)/(10-3)}}}
we simplify to get
{{{(5/2) = (t-7)/(7)}}}
cross multiply to get
{{{35 = 2t - 14}}}
adding 14 we get
{{{49 = 2t}}}
dividing by 2 we get
{{{t = 49/2}}}