Question

Which of the following is the correct classification of the system of equations below?

-x+2y=10
6y=-12x+1
Parallel
Coincident
Intersecting

Answer 1

Correct answer is C.


`-x+2y=10 \\2y=x+10 \\y= (1)/(2) x+5 \\m_1= (1)/(2) \\ \\6y=-12x+1 \\y=-2x+ (1)/(6) \\m_2=-2 \\ \\m_1 * m_2=(1)/(2) (-2)=-1 \Rightarrow \text{Lines are perpendicular}`

Therefore, lines are intersecting.