Find the distance with equations?

Question

Find the distance between the lines with equations -4x+7y+9=0 and y=4/7x-9

Answer 1

Step 1:

The two line equations are  and .

Rewrite the above line equations.

  and .

Since the slope of the two lines are equal, the lines are parallel to each other.

Therefore, the distance between the two parallel lines is .

The general form of line equation is .

The two parallel lines are   and .

Compare the equations with general form.

Here , ,and and .

The distance between the two lines is

The distance between two lines is units.

Solution :

The distance between two lines is units.