Question

Consider the equation $y-y_1=m\left(x-x_1\right)$. If $m$ and $x_1$ are fixed and different lines are drawn for different values of $y_1$, then

• A. the lines will pass through a fixed point
• B. there will be a set of parallel lines
• C. all lines intersect the line $x=x_1$
• D. all lines will be parallel to the line $y=x_1$

Answer 1

Answer: (B), (C)

$m$ and $x_1$ are fixed and $y_1$ is variable

Hence,
(B) There will be a set of parallel lines
(C) All lines intersect the line $x=x_1$