Solve the problem.The equation of a line passing through two distinct points (x1, y1) and (x2, y2) is given by . Use the determinant to write an equation for the line passing through  and . Express the line's equation in standard form.

A. 9x - 8y - 18 = 0
B. 3x - 6y - 72 = 0
C. 6x - 2y + 54 = 0
D. -6x + 2y + 54 = 0


Answer: C

Mathematics

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Evaluate the expression.for x = 12, y = 16

A. 16 B. 60 C. 48 D. 7

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Determine if the series converges or diverges. If the series converges, find its sum.

A. converges; 
B. converges; 
C. converges; 
D. diverges

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Graph the system of inequalities.4x + 3y ? 12x ? y 

A.

B.

C.

D.

Mathematics

Provide an appropriate response.Find a linear function, f, given f(8) = 9 and f(-1) = 6.75.

A. f(x) = - x + 4
B. f(x) = x + 7
C. f(x) = x + 4
D. f(x) = x - 7

Mathematics