# A line passes through #(6 ,5 )# and #(8 ,3 )#. A second line passes through #(0 ,1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

##### 1 Answer

The equation of the second line is:

#### Explanation:

If the two lines are parallel then they have the same gradient (slope).

For the first line:

Let point 1 be

Let point 2 be

For the second line:

Let point 3 be

For both lines:

Let the gradient (slope) be

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

gradient

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The standard form equation for a straight line is:

But

We know that this line passes through the point

So the value of the coordinates for

Thus