Consider the equation `y-y_1=m(x-x_1)` . If `ma n dx_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 the lines intersect the line `x=x_1` (d)all the lines will be parallel to the line `y=x_1`

Options

A. The lines will pass through a single point
B. There will be one possible line only
C. There will be a set of parallel lines
D. None of these

Answer

C