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 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)`

Answer

B, C

Explanation

Draw the diagram and verify.