Question 1154621
<br>
Plug in the x and y values of the given points to get 3 equations in a, b, and c.<br>
{{{a-b+c = 6}}}
{{{9a+3b+c = 7}}}
{{{c = 1}}}<br>
Use c=1 in the first two equations.<br>
{{{a-b = 5}}}
{{{9a+3b = 6}}}<br>
Eliminate b<br>
{{{3a-3b = 15}}}
{{{9a+3b = 6}}}
{{{12a = 21}}}
{{{a = 7/4}}}<br>
Solve for b<br>
{{{7/4-b = 5}}}
{{{b = -13/4}}}<br>
ANSWER: (a,b,c) = (7/4,-13/4,1)<br>