I haven't a clue how to solve this.
A.) A=8, B=4
B.) A=-3, B=-5
C.) A=4, B=8
D.) A=3, B=5
A.) A=8, B=4
B.) A=-3, B=-5
C.) A=4, B=8
D.) A=3, B=5
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Substitute the points' x and y values into the equation:
A(-8) + B(4) = -4
A(-3) + B(1) = -4
Rewrite into more conventional form:
-8A + 4B = -4
-3A + B = -4
Multiply through equation 2 by 4 to get the B coefficients to match:
-12A + 4B = -16
Subtract that from equation 1:
-8A + 4B = -4
-(-12A + 4B = -16)
-----------------------
4A = 12
Divide both sides by 4:
A = 3
Substitute 3 for A in either original equation to solve for B,
A(-8) + B(4) = -4
A(-3) + B(1) = -4
Rewrite into more conventional form:
-8A + 4B = -4
-3A + B = -4
Multiply through equation 2 by 4 to get the B coefficients to match:
-12A + 4B = -16
Subtract that from equation 1:
-8A + 4B = -4
-(-12A + 4B = -16)
-----------------------
4A = 12
Divide both sides by 4:
A = 3
Substitute 3 for A in either original equation to solve for B,