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

Options

A. the lines will pass through a fixed point
B. there will a set of parallel lines
C. all the lines intersect the line `x = x_(1)`
D. all the lines will be parallel to the line `y = x_(1)`

Answer

B, C

Explanation

Lines `(y - y_(1)) = m(x - x_(1))` in passing through a fixed point `(x_(1).y_(1))` & having slope `m` then if `m` and `x_(1)` are fixed then line will set of parallel lines which are intersects the lines `x = x_(1)`.