SOLUTION: Hi, I'm new to this so I'm not sure if this is in the right section. Find the distance between each set of parallel lines. y=2x-3 and 2x-y = -4

Question 1010351: Hi, I'm new to this so I'm not sure if this is in the right section.
Find the distance between each set of parallel lines.
y=2x-3 and 2x-y = -4
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
--------------
These lines are parallel since their
slopes are both =
---------------------
Find y-intercept of (2)
(2)
(2)
--------------
What is the equation of the line through
( 0,4 ) and is perpendicular to (2) ?
It's slope will be:

----------------
Use general point-slope formula

---------------------
Now find the point where this line
intersects (1)
(1)

and
(1)
(1)
(1)
The point is ( 2,1 )
-----------------
Now find the distance between
( 0,4 ) and ( 2,1 )

answer
---------------------
Here's a plot of the given lines:

, so this looks pretty close
Hope I got it!
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