Using determinants, find the equation of line joining (2,3) and (5,7). The coefficient of x is:

Using determinants, find the equation of line joining (2,3) and (5,7). The coefficient of x is:

• A. 4
• B. −4
• C. 3
• D. −3

Answer: B) −4

Explanation: Equation: |x y 1; 2 3 1; 5 7 1| = 0 → x(3−7) − y(2−5) + 1(14−15)=0 → −4x + 3y −1 = 0 → coefficient of x is −4.