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The equation
Ax+By=−18
A
x
+
B
y
=
−
18
goes through the coordinates (-3, 10) and (6, -2).

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Accepted Answer

By solving a system of equations, we will see that the equation is:-4*x - 3*y = -18How to find the equation?We know that the linear equation:A*x + B*y = -18We know that this linear equation passes through the points (-3, 10) and (6, -2), then replacing these values in the equation we will get two equations:A*-3 + B*10 = -18A*6 + B*-2 = -18So we have a system of equations:-3A + 10B = -186A - 2B = -18if we add the two times the first equation and the second one we get:2*(-3A + 10B) + 6A - 2B = 2*(-18) - 1818B = -3*18B = -3by replacing that value of B in one of the equations we will be able to solve it for A.6*A - 2*(-3) = -186*A + 6 = -186*A = -18 - 6 = -24A = -24/6 = -4The equation is:-4*x - 3*y = -18Learn more about systems of equations:https://brainly.com/question/13729904#SPJ1