Question

1. Give the equations of two lines passing through (2,14).How many more such lines are there and why.

Answer 1

Here, x=2 and y=14.

Thus,
x−y=−12orx−y+12=0

also, y=7x⇒y−7x=0

∴ The equations of two lines passing through (2,14) are;
x−y=−12andy−7x=0
.


There will be infinite such lines because, infinite number of lines can pass through a given point.