Choose the One Alternative That Best Completes the Statement or Answers

question 167

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The equation of the line passing through the distinct points $\left( x _ { 1 } , y _ { 1 } \right)$ and $\left( x _ { 2 } , y _ { 2 } \right)$ is given by $\left| \begin{array} { l l l } x _ { 1 } & y & 1 \\ x _ { 1 } & y _ { 1 } & 1 \\ x _ { 2 } & y _ { 2 } & 1 \end{array} \right| = 0 .$
Find the equation of the line passing through the points $( 3,5 )$ and $( - 1,4 )$ .

• A) \(x + 4 y + 17 = 0\)
• B) \(- x + 4 y - 17 = 0\)
• C) \(x + 7 y + 17 = 0\)
• D) \(x - 4 y + 17 = 0\)