Problema Solution
Find a and b so that the line ax+by=7 passes through the points (1,-2) and (3,1).
Answer provided by our tutors
ax+by=7 passes through the point (1,-2) thus
a*1 + b*(-2) = 7
ax+by=7 passes through the point (3,1) thus
a*3 + b*1 = 7
by solving the system of equations
a*1 + b*(-2) = 7
a*3 + b*1 = 7
we find
a = 3
b = -2
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